diff --git a/.appveyor.yml b/.appveyor.yml
deleted file mode 100644
index 8f17fc558f..0000000000
--- a/.appveyor.yml
+++ /dev/null
@@ -1,54 +0,0 @@
-# set clone depth
-clone_depth: 5                  # clone entire repository history if not defined
-
-environment:
-  TEST_SUITES: testinstall
-
-  # To test building GAP both using the bundled libraries (zlib and GMP), as
-  # well as using the versions distributed with cygwin, we do the former in
-  # the 32 bit build and the latter in the 64 bit build. But building zlib
-  # does not see to work if '--coverage' is used, so we only use that flag in
-  # the 64 bit build.
-  matrix:
-    - CYG_ARCH: x86
-      CYG_ROOT: C:\cygwin
-      PACKAGES: "-P python27,python27-pip"
-      ABI: 32
-    - CYG_ARCH: x86_64
-      CYG_ROOT: C:\cygwin64
-      PACKAGES: "-P libgmp-devel,zlib-devel,python27,python27-pip"
-      CFLAGS: "--coverage"
-      CXXFLAGS: "--coverage"
-      LDFLAGS: "--coverage"
-# FIXME: HPC-GAP build on AppVeyor disabled for now, as it crashes
-#    - CYG_ARCH: x86_64
-#      CYG_ROOT: C:\cygwin64
-#      HPCGAP: yes
-#      BUILDDIR: build       # HPC-GAP only supports kernel extensions for of out-of-tree builds
-
-# change to packages-stable-X.Y.tar.gz in the stable branch
-cache:
-  - packages-master.tar.gz
-
-install:
-  - '%CYG_ROOT%\setup-%CYG_ARCH%.exe -qnNdO -R %CYG_ROOT% -s http://cygwin.mirror.constant.com -l %CYG_ROOT%/var/cache/setup %PACKAGES%'
-
-# scripts that run after cloning repository
-build_script:
-# If there's a newer build queued for the same PR, cancel this one
-  - ps: if ($env:APPVEYOR_PULL_REQUEST_NUMBER -and $env:APPVEYOR_BUILD_NUMBER -ne ((Invoke-RestMethod `
-        https://ci.appveyor.com/api/projects/$env:APPVEYOR_ACCOUNT_NAME/$env:APPVEYOR_PROJECT_SLUG/history?recordsNumber=50).builds | `
-        Where-Object pullRequestId -eq $env:APPVEYOR_PULL_REQUEST_NUMBER)[0].buildNumber) { `
-        throw "There are newer queued builds for this pull request, failing early." }
-  - SET "PATH=%CYG_ROOT%\bin;%PATH%"
-  - python -m pip install gcovr==4.2 # for coverage reporting later on
-  - bash -lc "gcc --version"
-  - bash -lc "cd $APPVEYOR_BUILD_FOLDER && ./dev/ci-prepare.sh"
-
-test_script:
-  - bash -lc "cd $APPVEYOR_BUILD_FOLDER && ./dev/ci.sh"
-
-on_success:
-  # make sure to use AppVeyor's Python (not Cygwin's) in the next step
-  - bash -lc "export PATH="/cygdrive/c/Python27:/cygdrive/c/Python27/Scripts:$PATH" ; cd $APPVEYOR_BUILD_FOLDER && ./dev/ci-gather-coverage.sh"
-  - bash -lc "cd $APPVEYOR_BUILD_FOLDER && ./dev/ci-upload-coverage.sh"
diff --git a/README.md b/README.md
index afa8d778d2..776f22a623 100644
--- a/README.md
+++ b/README.md
@@ -1,5 +1,4 @@
 [![Build Status](https://github.com/gap-system/gap/workflows/CI/badge.svg?branch=master)](https://github.com/gap-system/gap/actions?query=workflow%3ACI+branch%3Amaster)
-[![AppVeyor build Status](https://ci.appveyor.com/api/projects/status/mvut0lq6x9idfrye/branch/master?svg=true)](https://ci.appveyor.com/project/gap-system/gap/branch/master)
 [![Code Coverage](https://codecov.io/gh/gap-system/gap/branch/master/graphs/badge.svg)](https://codecov.io/gh/gap-system/gap/branch/master)
 [![Coverage Status](https://coveralls.io/repos/github/gap-system/gap/badge.svg?branch=master)](https://coveralls.io/github/gap-system/gap?branch=master)
 
diff --git a/dev/ci-gather-coverage.sh b/dev/ci-gather-coverage.sh
index afb601a950..c1f1ca5255 100755
--- a/dev/ci-gather-coverage.sh
+++ b/dev/ci-gather-coverage.sh
@@ -84,11 +84,6 @@ if IsBound(env.GITHUB_ACTIONS) then
         #service_job_id := env.GITHUB_RUN_ID,
         service_branch := env.GITHUB_REF{[Length("refs/heads/")..Length(env.GITHUB_REF)]},
         commit_sha := env.GITHUB_SHA,
-#         service_build_url := Concatenation(
-#             "https://ci.appveyor.com/project/",
-#             env.APPVEYOR_REPO_NAME,
-#             "/build/",
-#             env.APPVEYOR_BUILD_VERSION),
     );
 
     # GITHUB_REF has the form refs/pull/12345/merge
diff --git a/dev/ci.sh b/dev/ci.sh
index f16a361cae..f6d910be27 100755
--- a/dev/ci.sh
+++ b/dev/ci.sh
@@ -2,9 +2,8 @@
 
 # Continous integration testing script
 
-# This is used for AppVeyor, Travis CI and GitHub Actions integration.
-# In addition, it can be run manually, to simulate what happens in the
-# CI environment locally (say, for debugging purposes).
+# It can also be run manually, to simulate locally what happens in the
+# CI environment (say, for debugging purposes).
 
 set -ex
 
diff --git a/dev/releases/make_archives.py b/dev/releases/make_archives.py
index ab9abf924f..db5c4a7f22 100755
--- a/dev/releases/make_archives.py
+++ b/dev/releases/make_archives.py
@@ -155,7 +155,6 @@
 
     notice("Removing unwanted version-controlled files")
     badfiles = [
-    ".appveyor.yml",
     ".codecov.yml",
     ".gitattributes",
     ".gitignore",