diff --git a/pandas/core/methods/selectn.py b/pandas/core/methods/selectn.py
index 20aec3ccadded..283acaca2c117 100644
--- a/pandas/core/methods/selectn.py
+++ b/pandas/core/methods/selectn.py
@@ -213,7 +213,7 @@ def compute(self, method: str) -> DataFrame:
                     f"cannot use method {method!r} with this dtype"
                 )
 
-        def get_indexer(current_indexer, other_indexer):
+        def get_indexer(current_indexer: Index, other_indexer: Index) -> Index:
             """
             Helper function to concat `current_indexer` and `other_indexer`
             depending on `method`
diff --git a/pandas/core/methods/to_dict.py b/pandas/core/methods/to_dict.py
index a5833514a9799..57e03dedc384d 100644
--- a/pandas/core/methods/to_dict.py
+++ b/pandas/core/methods/to_dict.py
@@ -155,7 +155,8 @@ def to_dict(
             stacklevel=find_stack_level(),
         )
     # GH16122
-    into_c = com.standardize_mapping(into)
+    # error: Call to untyped function "standardize_mapping" in typed context
+    into_c = com.standardize_mapping(into)  # type: ignore[no-untyped-call]
 
     #  error: Incompatible types in assignment (expression has type "str",
     # variable has type "Literal['dict', 'list', 'series', 'split', 'tight',
diff --git a/pandas/core/ops/invalid.py b/pandas/core/ops/invalid.py
index 7b3af99ee1a95..c300db8c114c1 100644
--- a/pandas/core/ops/invalid.py
+++ b/pandas/core/ops/invalid.py
@@ -7,6 +7,7 @@
 import operator
 from typing import (
     TYPE_CHECKING,
+    Any,
     Callable,
     NoReturn,
 )
@@ -14,10 +15,18 @@
 import numpy as np
 
 if TYPE_CHECKING:
-    from pandas._typing import npt
+    from pandas._typing import (
+        ArrayLike,
+        Scalar,
+        npt,
+    )
 
 
-def invalid_comparison(left, right, op) -> npt.NDArray[np.bool_]:
+def invalid_comparison(
+    left: ArrayLike,
+    right: ArrayLike | Scalar,
+    op: Callable[[Any, Any], bool],
+) -> npt.NDArray[np.bool_]:
     """
     If a comparison has mismatched types and is not necessarily meaningful,
     follow python3 conventions by:
@@ -59,7 +68,7 @@ def make_invalid_op(name: str) -> Callable[..., NoReturn]:
     invalid_op : function
     """
 
-    def invalid_op(self, other=None) -> NoReturn:
+    def invalid_op(self: object, other: object = None) -> NoReturn:
         typ = type(self).__name__
         raise TypeError(f"cannot perform {name} with this index type: {typ}")
 
diff --git a/pandas/io/common.py b/pandas/io/common.py
index 3544883afedd6..abeb789a4b778 100644
--- a/pandas/io/common.py
+++ b/pandas/io/common.py
@@ -278,7 +278,7 @@ def stringify_path(
     return _expand_user(filepath_or_buffer)
 
 
-def urlopen(*args, **kwargs):
+def urlopen(*args: Any, **kwargs: Any) -> Any:
     """
     Lazy-import wrapper for stdlib urlopen, as that imports a big chunk of
     the stdlib.
@@ -972,7 +972,7 @@ def __init__(
         mode: Literal["r", "a", "w", "x"] = "r",
         fileobj: ReadBuffer[bytes] | WriteBuffer[bytes] | None = None,
         archive_name: str | None = None,
-        **kwargs,
+        **kwargs: Any,
     ) -> None:
         super().__init__()
         self.archive_name = archive_name
@@ -1025,7 +1025,7 @@ def __init__(
         file: FilePath | ReadBuffer[bytes] | WriteBuffer[bytes],
         mode: str,
         archive_name: str | None = None,
-        **kwargs,
+        **kwargs: Any,
     ) -> None:
         super().__init__()
         mode = mode.replace("b", "")
diff --git a/pandas/io/excel/_odswriter.py b/pandas/io/excel/_odswriter.py
index cdb22a57399ed..0ddb59d3413ff 100644
--- a/pandas/io/excel/_odswriter.py
+++ b/pandas/io/excel/_odswriter.py
@@ -18,6 +18,8 @@
 )
 
 if TYPE_CHECKING:
+    from odf.opendocument import OpenDocumentSpreadsheet
+
     from pandas._typing import (
         ExcelWriterIfSheetExists,
         FilePath,
@@ -37,12 +39,12 @@ def __init__(
         path: FilePath | WriteExcelBuffer | ExcelWriter,
         engine: str | None = None,
         date_format: str | None = None,
-        datetime_format=None,
+        datetime_format: str | None = None,
         mode: str = "w",
         storage_options: StorageOptions | None = None,
         if_sheet_exists: ExcelWriterIfSheetExists | None = None,
         engine_kwargs: dict[str, Any] | None = None,
-        **kwargs,
+        **kwargs: Any,
     ) -> None:
         from odf.opendocument import OpenDocumentSpreadsheet
 
@@ -63,7 +65,7 @@ def __init__(
         self._style_dict: dict[str, str] = {}
 
     @property
-    def book(self):
+    def book(self) -> OpenDocumentSpreadsheet:
         """
         Book instance of class odf.opendocument.OpenDocumentSpreadsheet.
 
@@ -149,7 +151,7 @@ def _write_cells(
             for row_nr in range(max(rows.keys()) + 1):
                 wks.addElement(rows[row_nr])
 
-    def _make_table_cell_attributes(self, cell) -> dict[str, int | str]:
+    def _make_table_cell_attributes(self, cell: ExcelCell) -> dict[str, int | str]:
         """Convert cell attributes to OpenDocument attributes
 
         Parameters
@@ -171,7 +173,7 @@ def _make_table_cell_attributes(self, cell) -> dict[str, int | str]:
             attributes["numbercolumnsspanned"] = cell.mergeend
         return attributes
 
-    def _make_table_cell(self, cell) -> tuple[object, Any]:
+    def _make_table_cell(self, cell: ExcelCell) -> tuple[object, Any]:
         """Convert cell data to an OpenDocument spreadsheet cell
 
         Parameters
diff --git a/pandas/io/formats/css.py b/pandas/io/formats/css.py
index d3f4072b2ff08..d3d0da6f562a7 100644
--- a/pandas/io/formats/css.py
+++ b/pandas/io/formats/css.py
@@ -36,7 +36,9 @@ def _side_expander(prop_fmt: str) -> Callable:
         function: Return to call when a 'border(-{side}): {value}' string is encountered
     """
 
-    def expand(self, prop: str, value: str) -> Generator[tuple[str, str], None, None]:
+    def expand(
+        self: CSSResolver, prop: str, value: str
+    ) -> Generator[tuple[str, str], None, None]:
         """
         Expand shorthand property into side-specific property (top, right, bottom, left)
 
@@ -81,7 +83,9 @@ def _border_expander(side: str = "") -> Callable:
     if side != "":
         side = f"-{side}"
 
-    def expand(self, prop: str, value: str) -> Generator[tuple[str, str], None, None]:
+    def expand(
+        self: CSSResolver, prop: str, value: str
+    ) -> Generator[tuple[str, str], None, None]:
         """
         Expand border into color, style, and width tuples
 
@@ -343,7 +347,9 @@ def _update_other_units(self, props: dict[str, str]) -> dict[str, str]:
                     )
         return props
 
-    def size_to_pt(self, in_val, em_pt=None, conversions=UNIT_RATIOS) -> str:
+    def size_to_pt(
+        self, in_val: str, em_pt: float | None = None, conversions: dict = UNIT_RATIOS
+    ) -> str:
         def _error() -> str:
             warnings.warn(
                 f"Unhandled size: {in_val!r}",
diff --git a/pandas/io/formats/printing.py b/pandas/io/formats/printing.py
index b30351e14332d..214d1d7079fdb 100644
--- a/pandas/io/formats/printing.py
+++ b/pandas/io/formats/printing.py
@@ -11,6 +11,7 @@
 )
 import sys
 from typing import (
+    TYPE_CHECKING,
     Any,
     Callable,
     TypeVar,
@@ -24,12 +25,14 @@
 
 from pandas.io.formats.console import get_console_size
 
+if TYPE_CHECKING:
+    from pandas._typing import ListLike
 EscapeChars = Union[Mapping[str, str], Iterable[str]]
 _KT = TypeVar("_KT")
 _VT = TypeVar("_VT")
 
 
-def adjoin(space: int, *lists: list[str], **kwargs) -> str:
+def adjoin(space: int, *lists: list[str], **kwargs: Any) -> str:
     """
     Glues together two sets of strings using the amount of space requested.
     The idea is to prettify.
@@ -98,7 +101,7 @@ def _adj_justify(texts: Iterable[str], max_len: int, mode: str = "right") -> lis
 
 
 def _pprint_seq(
-    seq: Sequence, _nest_lvl: int = 0, max_seq_items: int | None = None, **kwds
+    seq: ListLike, _nest_lvl: int = 0, max_seq_items: int | None = None, **kwds: Any
 ) -> str:
     """
     internal. pprinter for iterables. you should probably use pprint_thing()
@@ -136,7 +139,7 @@ def _pprint_seq(
 
 
 def _pprint_dict(
-    seq: Mapping, _nest_lvl: int = 0, max_seq_items: int | None = None, **kwds
+    seq: Mapping, _nest_lvl: int = 0, max_seq_items: int | None = None, **kwds: Any
 ) -> str:
     """
     internal. pprinter for iterables. you should probably use pprint_thing()
@@ -167,7 +170,7 @@ def _pprint_dict(
 
 
 def pprint_thing(
-    thing: Any,
+    thing: object,
     _nest_lvl: int = 0,
     escape_chars: EscapeChars | None = None,
     default_escapes: bool = False,
@@ -225,7 +228,10 @@ def as_escaped_string(
         )
     elif is_sequence(thing) and _nest_lvl < get_option("display.pprint_nest_depth"):
         result = _pprint_seq(
-            thing,
+            # error: Argument 1 to "_pprint_seq" has incompatible type "object";
+            # expected "ExtensionArray | ndarray[Any, Any] | Index | Series |
+            # SequenceNotStr[Any] | range"
+            thing,  # type: ignore[arg-type]
             _nest_lvl,
             escape_chars=escape_chars,
             quote_strings=quote_strings,
@@ -240,7 +246,7 @@ def as_escaped_string(
 
 
 def pprint_thing_encoded(
-    object, encoding: str = "utf-8", errors: str = "replace"
+    object: object, encoding: str = "utf-8", errors: str = "replace"
 ) -> bytes:
     value = pprint_thing(object)  # get unicode representation of object
     return value.encode(encoding, errors)
@@ -252,7 +258,8 @@ def enable_data_resource_formatter(enable: bool) -> None:
         return
     from IPython import get_ipython
 
-    ip = get_ipython()
+    # error: Call to untyped function "get_ipython" in typed context
+    ip = get_ipython()  # type: ignore[no-untyped-call]
     if ip is None:
         # still not in IPython
         return
@@ -289,7 +296,7 @@ def default_pprint(thing: Any, max_seq_items: int | None = None) -> str:
 
 
 def format_object_summary(
-    obj,
+    obj: ListLike,
     formatter: Callable,
     is_justify: bool = True,
     name: str | None = None,
@@ -525,7 +532,7 @@ def justify(self, texts: Any, max_len: int, mode: str = "right") -> list[str]:
         else:
             return [x.rjust(max_len) for x in texts]
 
-    def adjoin(self, space: int, *lists, **kwargs) -> str:
+    def adjoin(self, space: int, *lists: Any, **kwargs: Any) -> str:
         return adjoin(space, *lists, strlen=self.len, justfunc=self.justify, **kwargs)
 
 
@@ -557,7 +564,7 @@ def justify(
         self, texts: Iterable[str], max_len: int, mode: str = "right"
     ) -> list[str]:
         # re-calculate padding space per str considering East Asian Width
-        def _get_pad(t):
+        def _get_pad(t: str) -> int:
             return max_len - self.len(t) + len(t)
 
         if mode == "left":
diff --git a/pandas/plotting/_misc.py b/pandas/plotting/_misc.py
index 16192fda07bad..38fa0ff75cf66 100644
--- a/pandas/plotting/_misc.py
+++ b/pandas/plotting/_misc.py
@@ -672,7 +672,7 @@ def reset(self) -> None:
         # error: Cannot access "__init__" directly
         self.__init__()  # type: ignore[misc]
 
-    def _get_canonical_key(self, key):
+    def _get_canonical_key(self, key: str) -> str:
         return self._ALIASES.get(key, key)
 
     @contextmanager
diff --git a/pyproject.toml b/pyproject.toml
index bbcaa73b55ff8..f96fbee4a5818 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -594,10 +594,8 @@ module = [
   "pandas.core.interchange.dataframe_protocol", # TODO
   "pandas.core.interchange.from_dataframe", # TODO
   "pandas.core.internals.*", # TODO
-  "pandas.core.methods.*", # TODO
   "pandas.core.ops.array_ops", # TODO
   "pandas.core.ops.common", # TODO
-  "pandas.core.ops.invalid", # TODO
   "pandas.core.ops.missing", # TODO
   "pandas.core.reshape.*", # TODO
   "pandas.core.strings.*", # TODO
@@ -630,15 +628,12 @@ module = [
   "pandas.io.clipboard", # TODO
   "pandas.io.excel._base", # TODO
   "pandas.io.excel._odfreader", # TODO
-  "pandas.io.excel._odswriter", # TODO
   "pandas.io.excel._openpyxl", # TODO
   "pandas.io.excel._pyxlsb", # TODO
   "pandas.io.excel._xlrd", # TODO
   "pandas.io.excel._xlsxwriter", # TODO
-  "pandas.io.formats.css", # TODO
   "pandas.io.formats.excel", # TODO
   "pandas.io.formats.format", # TODO
-  "pandas.io.formats.printing", # TODO
   "pandas.io.formats.style", # TODO
   "pandas.io.formats.style_render", # TODO
   "pandas.io.formats.xml", # TODO
@@ -647,7 +642,6 @@ module = [
   "pandas.io.sas.sas_xport", # TODO
   "pandas.io.sas.sas7bdat", # TODO
   "pandas.io.clipboards", # TODO
-  "pandas.io.common", # TODO
   "pandas.io.html", # TODO
   "pandas.io.parquet", # TODO
   "pandas.io.pytables", # TODO