diff --git a/.circleci/config.yml b/.circleci/config.yml
index 1ff2edb9..7a70f273 100644
--- a/.circleci/config.yml
+++ b/.circleci/config.yml
@@ -3,7 +3,7 @@ version: 2
 jobs:
   osx-python3.6:
     macos:
-      xcode: 10.2.1
+      xcode: 9.4.1
     environment:
       PYTHON: python3
     steps:
diff --git a/.travis.yml b/.travis.yml
index df904eba..6e4925f8 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -28,7 +28,6 @@ jobs:
 
     - name: macOS | x86_64 | Python 3.x
       os: osx
-      osx_image: xcode10.2
       env:
         - PYTHON=python3
         - PYTEST_ADDOPTS='-k "unit_test or test_0_basic" --suppress-no-test-exit-code'
diff --git a/README.md b/README.md
index 19d7d450..ca9b6985 100644
--- a/README.md
+++ b/README.md
@@ -23,9 +23,9 @@ What does it do?
 | CPython 3.7     | ✅ | ✅  | ✅  | ✅ | ✅ | ✅² | ✅² | ✅³ |
 | CPython 3.8     | ✅ | ✅  | ✅  | ✅ | ✅ | ✅² | ✅² | ✅³ |
 | CPython 3.9     | ✅ | ✅  | ✅  | ✅ | ✅ | ✅² | ✅² | ✅³ |
-| PyPy 2.7 v7.3.2 | ✅ |    | ✅  | ✅ |    |    |    |    |
-| PyPy 3.6 v7.3.2 | ✅ |    | ✅  | ✅ |    |    |    |    |
-| PyPy 3.7 (alpha) v7.3.2 | ✅ |    | ✅  | ✅ |    |    |    |    |
+| PyPy 2.7 v7.3.3 | ✅ |    | ✅  | ✅ |    |    |    |    |
+| PyPy 3.6 v7.3.3 | ✅ |    | ✅  | ✅ |    |    |    |    |
+| PyPy 3.7 (beta) v7.3.3 | ✅ |    | ✅  | ✅ |    |    |    |    |
 
 <sup>¹ Not supported on Travis</sup><br>
 <sup>² Only supported on Travis</sup><br>
@@ -67,8 +67,6 @@ jobs:
     - services: docker
     # and a mac build
     - os: osx
-      # PyPy 7.3.2 needs macOS >= 10.14
-      osx_image: xcode10.2
       language: shell
     # and a windows build
     - os: windows
diff --git a/cibuildwheel/macos.py b/cibuildwheel/macos.py
index 5dfd1cd6..8541ec72 100644
--- a/cibuildwheel/macos.py
+++ b/cibuildwheel/macos.py
@@ -40,9 +40,9 @@ def get_python_configurations(build_selector: BuildSelector) -> List[PythonConfi
         PythonConfiguration(version='3.8', identifier='cp38-macosx_x86_64', url='https://www.python.org/ftp/python/3.8.4/python-3.8.4-macosx10.9.pkg'),
         PythonConfiguration(version='3.9', identifier='cp39-macosx_x86_64', url='https://www.python.org/ftp/python/3.9.0/python-3.9.0-macosx10.9.pkg'),
         # PyPy
-        PythonConfiguration(version='2.7', identifier='pp27-macosx_x86_64', url='https://downloads.python.org/pypy/pypy2.7-v7.3.2-osx64.tar.bz2'),
-        PythonConfiguration(version='3.6', identifier='pp36-macosx_x86_64', url='https://downloads.python.org/pypy/pypy3.6-v7.3.2-osx64.tar.bz2'),
-        PythonConfiguration(version='3.7', identifier='pp37-macosx_x86_64', url='https://downloads.python.org/pypy/pypy3.7-v7.3.2-osx64.tar.bz2'),
+        PythonConfiguration(version='2.7', identifier='pp27-macosx_x86_64', url='https://downloads.python.org/pypy/pypy2.7-v7.3.3-osx64.tar.bz2'),
+        PythonConfiguration(version='3.6', identifier='pp36-macosx_x86_64', url='https://downloads.python.org/pypy/pypy3.6-v7.3.3-osx64.tar.bz2'),
+        PythonConfiguration(version='3.7', identifier='pp37-macosx_x86_64', url='https://downloads.python.org/pypy/pypy3.7-v7.3.3-osx64.tar.bz2'),
     ]
 
     # skip builds as required
diff --git a/cibuildwheel/resources/pinned_docker_images.cfg b/cibuildwheel/resources/pinned_docker_images.cfg
index 446c120a..852ed441 100644
--- a/cibuildwheel/resources/pinned_docker_images.cfg
+++ b/cibuildwheel/resources/pinned_docker_images.cfg
@@ -1,21 +1,22 @@
 [x86_64]
-manylinux1 = quay.io/pypa/manylinux1_x86_64:2020-10-06-c4a4a7c
-manylinux2010 = quay.io/pypa/manylinux2010_x86_64:2020-10-06-786a931
-manylinux2014 = quay.io/pypa/manylinux2014_x86_64:2020-10-06-b2ca7a1
+manylinux1 = quay.io/pypa/manylinux1_x86_64:2020-11-11-0f1f128
+manylinux2010 = quay.io/pypa/manylinux2010_x86_64:2020-11-11-201fb79
+manylinux2014 = quay.io/pypa/manylinux2014_x86_64:2020-11-11-bc8ce45
 
 [i686]
-manylinux1 = quay.io/pypa/manylinux1_i686:2020-10-06-c4a4a7c
-manylinux2010 = quay.io/pypa/manylinux2010_i686:2020-10-06-786a931
-manylinux2014 = quay.io/pypa/manylinux2014_i686:2020-10-06-b2ca7a1
+manylinux1 = quay.io/pypa/manylinux1_i686:2020-11-11-0f1f128
+manylinux2010 = quay.io/pypa/manylinux2010_i686:2020-11-11-201fb79
+manylinux2014 = quay.io/pypa/manylinux2014_i686:2020-11-11-bc8ce45
 
 [pypy_x86_64]
-manylinux2010 = pypywheels/manylinux2010-pypy_x86_64:2020-09-26-8f210b5
+manylinux2010 = pypywheels/manylinux2010-pypy_x86_64:2020-11-21-a03b9e9
 
 [aarch64]
-manylinux2014 = quay.io/pypa/manylinux2014_aarch64:2020-10-06-b2ca7a1
+manylinux2014 = quay.io/pypa/manylinux2014_aarch64:2020-11-11-bc8ce45
 
 [ppc64le]
-manylinux2014 = quay.io/pypa/manylinux2014_ppc64le:2020-10-06-b2ca7a1
+manylinux2014 = quay.io/pypa/manylinux2014_ppc64le:2020-11-11-bc8ce45
 
 [s390x]
-manylinux2014 = quay.io/pypa/manylinux2014_s390x:2020-10-06-b2ca7a1
+manylinux2014 = quay.io/pypa/manylinux2014_s390x:2020-11-11-bc8ce45
+
diff --git a/cibuildwheel/windows.py b/cibuildwheel/windows.py
index 9e8c1df5..2679324f 100644
--- a/cibuildwheel/windows.py
+++ b/cibuildwheel/windows.py
@@ -61,9 +61,9 @@ def get_python_configurations(build_selector: BuildSelector) -> List[PythonConfi
         PythonConfiguration(version='3.9.0', arch='32', identifier='cp39-win32', url=None),
         PythonConfiguration(version='3.9.0', arch='64', identifier='cp39-win_amd64', url=None),
         # PyPy
-        PythonConfiguration(version='2.7', arch='32', identifier='pp27-win32', url='https://downloads.python.org/pypy/pypy2.7-v7.3.2-win32.zip'),
-        PythonConfiguration(version='3.6', arch='32', identifier='pp36-win32', url='https://downloads.python.org/pypy/pypy3.6-v7.3.2-win32.zip'),
-        PythonConfiguration(version='3.7', arch='32', identifier='pp37-win32', url='https://downloads.python.org/pypy/pypy3.7-v7.3.2-win32.zip'),
+        PythonConfiguration(version='2.7', arch='32', identifier='pp27-win32', url='https://downloads.python.org/pypy/pypy2.7-v7.3.3-win32.zip'),
+        PythonConfiguration(version='3.6', arch='32', identifier='pp36-win32', url='https://downloads.python.org/pypy/pypy3.6-v7.3.3-win32.zip'),
+        PythonConfiguration(version='3.7', arch='32', identifier='pp37-win32', url='https://downloads.python.org/pypy/pypy3.7-v7.3.3-win32.zip'),
     ]
 
     if IS_RUNNING_ON_TRAVIS:
diff --git a/docs/options.md b/docs/options.md
index 2f33d629..73c25b3b 100644
--- a/docs/options.md
+++ b/docs/options.md
@@ -87,9 +87,9 @@ When setting the options, you can use shell-style globbing syntax (as per [`fnma
 | Python 3.7      | cp37-macosx_x86_64  | cp37-manylinux_x86_64  | cp37-manylinux_i686  | cp37-win_amd64  | cp37-win32     | cp37-manylinux_aarch64 | cp37-manylinux_ppc64le | cp37-manylinux_s390x |
 | Python 3.8      | cp38-macosx_x86_64  | cp38-manylinux_x86_64  | cp38-manylinux_i686  | cp38-win_amd64  | cp38-win32     | cp38-manylinux_aarch64 | cp38-manylinux_ppc64le | cp38-manylinux_s390x |
 | Python 3.9      | cp39-macosx_x86_64  | cp39-manylinux_x86_64  | cp39-manylinux_i686  | cp39-win_amd64  | cp39-win32     | cp39-manylinux_aarch64 | cp39-manylinux_ppc64le | cp39-manylinux_s390x |
-| PyPy 2.7 v7.3.2 | pp27-macosx_x86_64  | pp27-manylinux_x86_64  |                      |                 | pp27-win32     |                        |                        |                      |
-| PyPy 3.6 v7.3.2 | pp36-macosx_x86_64  | pp36-manylinux_x86_64  |                      |                 | pp36-win32     |                        |                        |                      |
-| PyPy 3.7 (alpha) v7.3.2 | pp37-macosx_x86_64  | pp37-manylinux_x86_64  |                      |                 | pp37-win32     |                        |                        |                      |
+| PyPy 2.7 v7.3.3 | pp27-macosx_x86_64  | pp27-manylinux_x86_64  |                      |                 | pp27-win32     |                        |                        |                      |
+| PyPy 3.6 v7.3.3 | pp36-macosx_x86_64  | pp36-manylinux_x86_64  |                      |                 | pp36-win32     |                        |                        |                      |
+| PyPy 3.7 (beta) v7.3.3 | pp37-macosx_x86_64  | pp37-manylinux_x86_64  |                      |                 | pp37-win32     |                        |                        |                      |
 
 
 The list of supported and currently selected build identifiers can also be retrieved by passing the `--print-build-identifiers` flag to `cibuildwheel`.
diff --git a/examples/circleci-minimal.yml b/examples/circleci-minimal.yml
index 6e7a315f..77b8a003 100644
--- a/examples/circleci-minimal.yml
+++ b/examples/circleci-minimal.yml
@@ -19,8 +19,7 @@ jobs:
   osx-wheels:
     working_directory: ~/osx-wheels
     macos:
-      # PyPy 7.3.2 needs macOS >= 10.14
-      xcode: 10.2.1
+      xcode: 10.0.0
     steps:
       - checkout
       - run:
diff --git a/examples/travis-ci-deploy.yml b/examples/travis-ci-deploy.yml
index feba9a65..9643546e 100644
--- a/examples/travis-ci-deploy.yml
+++ b/examples/travis-ci-deploy.yml
@@ -9,8 +9,6 @@ jobs:
     - services: docker
     # and a mac build
     - os: osx
-      # PyPy 7.3.2 needs macOS >= 10.14
-      osx_image: xcode10.2
       language: shell
     # and a windows build
     - os: windows
diff --git a/examples/travis-ci-minimal.yml b/examples/travis-ci-minimal.yml
index 8074d08c..7f681fd4 100644
--- a/examples/travis-ci-minimal.yml
+++ b/examples/travis-ci-minimal.yml
@@ -15,8 +15,6 @@ jobs:
       arch: s390x
     # and a mac build
     - os: osx
-      # PyPy 7.3.2 needs macOS >= 10.14
-      osx_image: xcode10.2
       language: shell
     # and a windows build
     - os: windows
diff --git a/examples/travis-ci-test-and-deploy.yml b/examples/travis-ci-test-and-deploy.yml
index df5e9065..e9617a81 100644
--- a/examples/travis-ci-test-and-deploy.yml
+++ b/examples/travis-ci-test-and-deploy.yml
@@ -64,8 +64,6 @@ jobs:
     - stage: deploy
       name: Build and deploy macOS wheels
       os: osx
-      # PyPy 7.3.2 needs macOS >= 10.14
-      osx_image: xcode10.2
       language: shell
       install: python3 -m pip install cibuildwheel==1.6.4
       script: python3 -m cibuildwheel --output-dir wheelhouse