diff --git a/.buildkite/docker-compose.py35.pg95.yaml b/.buildkite/docker-compose.py35.pg95.yaml
deleted file mode 100644
index 43237b777..000000000
--- a/.buildkite/docker-compose.py35.pg95.yaml
+++ /dev/null
@@ -1,22 +0,0 @@
-version: '3.1'
-
-services:
-
-  postgres:
-    image: postgres:9.5
-    environment:
-      POSTGRES_PASSWORD: postgres
-    command: -c fsync=off
-
-  testenv:
-    image: python:3.5
-    depends_on:
-      - postgres
-    env_file: .env
-    environment:
-      SYNAPSE_POSTGRES_HOST: postgres
-      SYNAPSE_POSTGRES_USER: postgres
-      SYNAPSE_POSTGRES_PASSWORD: postgres
-    working_dir: /src
-    volumes:
-      - ..:/src
diff --git a/.buildkite/docker-compose.py37.pg11.yaml b/.buildkite/docker-compose.py37.pg11.yaml
deleted file mode 100644
index b76722814..000000000
--- a/.buildkite/docker-compose.py37.pg11.yaml
+++ /dev/null
@@ -1,22 +0,0 @@
-version: '3.1'
-
-services:
-
-  postgres:
-    image: postgres:11
-    environment:
-      POSTGRES_PASSWORD: postgres
-    command: -c fsync=off
-
-  testenv:
-    image: python:3.7
-    depends_on:
-      - postgres
-    env_file: .env
-    environment:
-      SYNAPSE_POSTGRES_HOST: postgres
-      SYNAPSE_POSTGRES_USER: postgres
-      SYNAPSE_POSTGRES_PASSWORD: postgres
-    working_dir: /src
-    volumes:
-      - ..:/src
diff --git a/.buildkite/docker-compose.py37.pg95.yaml b/.buildkite/docker-compose.py37.pg95.yaml
deleted file mode 100644
index 02fcd2830..000000000
--- a/.buildkite/docker-compose.py37.pg95.yaml
+++ /dev/null
@@ -1,22 +0,0 @@
-version: '3.1'
-
-services:
-
-  postgres:
-    image: postgres:9.5
-    environment:
-      POSTGRES_PASSWORD: postgres
-    command: -c fsync=off
-
-  testenv:
-    image: python:3.7
-    depends_on:
-      - postgres
-    env_file: .env
-    environment:
-      SYNAPSE_POSTGRES_HOST: postgres
-      SYNAPSE_POSTGRES_USER: postgres
-      SYNAPSE_POSTGRES_PASSWORD: postgres
-    working_dir: /src
-    volumes:
-      - ..:/src
diff --git a/changelog.d/6754.misc b/changelog.d/6754.misc
new file mode 100644
index 000000000..0a955e47e
--- /dev/null
+++ b/changelog.d/6754.misc
@@ -0,0 +1 @@
+Remove unused CI docker compose files.