diff --git a/stdlib/2/_io.pyi b/stdlib/2/_io.pyi
index 4d97765e7..55c7e8fa2 100644
--- a/stdlib/2/_io.pyi
+++ b/stdlib/2/_io.pyi
@@ -38,8 +38,12 @@ class _IOBase(BinaryIO):
     def writelines(self, lines: Iterable[bytes]) -> None: ...
     # The return type of readline[s]() and next() is determined by that of read():
     def readline(self, limit: int = ...) -> bytes: ...
-    def readlines(self, hint: int = ...) -> list[bytes]: ...
+    def readlines(self, hint: int = ...) -> List[bytes]: ...
     def next(self) -> bytes: ...
+    # These don't actually exist but we need to pretend that it does
+    # so that this class is concrete.
+    def write(self, s: bytes) -> int: ...
+    def read(self, n: int = ...) -> bytes: ...
 
 class _BufferedIOBase(_IOBase):
     def read1(self, n: int) -> bytes: ...
diff --git a/stdlib/2/multiprocessing/pool.pyi b/stdlib/2/multiprocessing/pool.pyi
index 57a628d33..ac8ec4216 100644
--- a/stdlib/2/multiprocessing/pool.pyi
+++ b/stdlib/2/multiprocessing/pool.pyi
@@ -1,11 +1,9 @@
-# Stubs for multiprocessing.pool (Python 2)
-
 from typing import (
-    Any, Callable, ContextManager, Iterable, Mapping, Optional, Dict, List,
-    TypeVar,
+    Any, Callable, ContextManager, Iterable, Optional, Dict, List,
+    TypeVar, Iterator,
 )
 
-_T = TypeVar('_T', bound='Pool')
+_T = TypeVar('_T', bound=Pool)
 
 class AsyncResult():
     def get(self, timeout: Optional[float] = ...) -> Any: ...
@@ -14,6 +12,7 @@ class AsyncResult():
     def successful(self) -> bool: ...
 
 class IMapIterator(Iterable[Any]):
+    def __iter__(self) -> Iterator[Any]: ...
     def next(self, timeout: Optional[float] = ...) -> Any: ...
 
 class Pool(ContextManager[Pool]):
diff --git a/stdlib/2/os/__init__.pyi b/stdlib/2/os/__init__.pyi
index 6024eab86..43e1cf23e 100644
--- a/stdlib/2/os/__init__.pyi
+++ b/stdlib/2/os/__init__.pyi
@@ -75,6 +75,11 @@ X_OK: int
 
 class _Environ(MutableMapping[AnyStr, AnyStr], Generic[AnyStr]):
     def copy(self) -> Dict[AnyStr, AnyStr]: ...
+    def __delitem__(self, key: AnyStr) -> None: ...
+    def __getitem__(self, key: AnyStr) -> AnyStr: ...
+    def __setitem__(self, key: AnyStr, value: AnyStr) -> None: ...
+    def __iter__(self) -> Iterator[AnyStr]: ...
+    def __len__(self) -> int: ...
 
 environ: _Environ[str]
 if sys.version_info >= (3, 2):
diff --git a/stdlib/2/tempfile.pyi b/stdlib/2/tempfile.pyi
index 15eda96f9..c19dbf179 100644
--- a/stdlib/2/tempfile.pyi
+++ b/stdlib/2/tempfile.pyi
@@ -1,17 +1,6 @@
-# Stubs for tempfile
-# Ron Murawski <ron@horizonchess.com>
-
-# based on http: //docs.python.org/3.3/library/tempfile.html
-# Adapted for Python 2.7 by Michal Pokorny
-
-# TODO: Don't use basestring. Use Union[str, bytes] or AnyStr for arguments.
-#       Avoid using Union[str, bytes] for return values, as it implies that
-#       an isinstance() check will often be required, which is inconvenient.
-
-from typing import Tuple, IO, Union, AnyStr, Any, overload, Iterator, List, Type, Optional
-
-import thread
-import random
+from typing import Tuple, IO, Union, AnyStr, Any, overload, Iterator, List, Iterable, Optional
+from thread import LockType
+from random import Random
 
 TMP_MAX = ...  # type: int
 tempdir = ...  # type: str
@@ -19,28 +8,46 @@ template = ...  # type: str
 _name_sequence = ...  # type: Optional[_RandomNameSequence]
 
 class _RandomNameSequence:
-    _rng = ...  # type: random.Random
-    _rng_pid = ...  # type: int
-    characters = ...  # type: str
-    mutex = ...  # type: thread.LockType
-    rng = ...  # type: random.Random
-    def __iter__(self) -> "_RandomNameSequence": ...
+    characters: str = ...
+    mutex: LockType
+    @property
+    def rng(self) -> Random: ...
+    def __iter__(self) -> _RandomNameSequence: ...
     def next(self) -> str: ...
     # from os.path:
     def normcase(self, path: AnyStr) -> AnyStr: ...
 
 class _TemporaryFileWrapper(IO[str]):
-    close_called = ...  # type: bool
-    delete = ...  # type: bool
-    file = ...  # type: IO
-    name = ...  # type: Any
-    def __init__(self, file: IO, name, delete: bool = ...) -> None: ...
+    delete: bool
+    file: IO
+    name: Any
+    def __init__(self, file: IO, name: Any, delete: bool = ...) -> None: ...
     def __del__(self) -> None: ...
-    def __enter__(self) -> "_TemporaryFileWrapper": ...
+    def __enter__(self) -> _TemporaryFileWrapper: ...
     def __exit__(self, exc, value, tb) -> bool: ...
     def __getattr__(self, name: unicode) -> Any: ...
     def close(self) -> None: ...
     def unlink(self, path: unicode) -> None: ...
+    # These methods don't exist directly on this object, but
+    # are delegated to the underlying IO object through __getattr__.
+    # We need to add them here so that this class is concrete.
+    def __iter__(self) -> Iterator[str]: ...
+    def fileno(self) -> int: ...
+    def flush(self) -> None: ...
+    def isatty(self) -> bool: ...
+    def next(self) -> str: ...
+    def read(self, n: int = ...) -> str: ...
+    def readable(self) -> bool: ...
+    def readline(self, limit: int = ...) -> str: ...
+    def readlines(self, hint: int = ...) -> List[str]: ...
+    def seek(self, offset: int, whence: int = ...) -> int: ...
+    def seekable(self) -> bool: ...
+    def tell(self) -> int: ...
+    def truncate(self, size: Optional[int] = ...) -> int: ...
+    def writable(self) -> bool: ...
+    def write(self, s: str) -> int: ...
+    def writelines(self, lines: Iterable[str]) -> None: ...
+
 
 # TODO text files
 
diff --git a/stdlib/2and3/_csv.pyi b/stdlib/2and3/_csv.pyi
index 59d895d49..9f6a9e86e 100644
--- a/stdlib/2and3/_csv.pyi
+++ b/stdlib/2and3/_csv.pyi
@@ -23,7 +23,10 @@ class Dialect:
 class _reader(Iterator[List[str]]):
     dialect = ...  # type: Dialect
     line_num = ...  # type: int
-    def __next__(self) -> List[str]: ...
+    if sys.version_info >= (3, 0):
+        def __next__(self) -> List[str]: ...
+    else:
+        def next(self) -> List[str]: ...
 
 class _writer:
     dialect = ...  # type: Dialect
diff --git a/stdlib/2and3/sqlite3/dbapi2.pyi b/stdlib/2and3/sqlite3/dbapi2.pyi
index e80733d68..a131fc27e 100644
--- a/stdlib/2and3/sqlite3/dbapi2.pyi
+++ b/stdlib/2and3/sqlite3/dbapi2.pyi
@@ -163,7 +163,10 @@ class Cursor(Iterator[Any]):
     def setinputsizes(self, *args, **kwargs): ...
     def setoutputsize(self, *args, **kwargs): ...
     def __iter__(self) -> Cursor: ...
-    def __next__(self) -> Any: ...
+    if sys.version_info >= (3, 0):
+        def __next__(self) -> Any: ...
+    else:
+        def next(self) -> Any: ...
 
 
 class DataError(DatabaseError): ...