diff --git a/test/system/160-volumes.bats b/test/system/160-volumes.bats
index dfc1a84137..6829c6a78f 100644
--- a/test/system/160-volumes.bats
+++ b/test/system/160-volumes.bats
@@ -149,16 +149,16 @@ EOF
 
     # By default, volumes are mounted exec, but we have manually added the
     # noexec option. This should fail.
-    # ARGH. Unfortunately, runc (used for cgroups v1) produces a different error
+    # ARGH. Unfortunately, runc (used for cgroups v1) has different exit status
     local expect_rc=126
-    local expect_msg='.* OCI permission denied.*'
     if [[ $(podman_runtime) = "runc" ]]; then
         expect_rc=1
-        expect_msg='.* exec user process caused.*permission denied'
     fi
 
     run_podman ${expect_rc} run --rm --volume $myvolume:/vol:noexec,z $IMAGE /vol/myscript
-    is "$output" "$expect_msg" "run on volume, noexec"
+    # crun and runc emit different messages, and even runc is inconsistent
+    # with itself (output changed some time in 2022?). Deal with all.
+    assert "$output" =~ 'exec.* permission denied' "run on volume, noexec"
 
     # With the default, it should pass
     run_podman run --rm -v $myvolume:/vol:z $IMAGE /vol/myscript
diff --git a/test/system/251-system-service.bats b/test/system/251-system-service.bats
index edee4a28c4..197d1cb18e 100644
--- a/test/system/251-system-service.bats
+++ b/test/system/251-system-service.bats
@@ -17,6 +17,10 @@ function teardown() {
 
 @test "podman-system-service containers survive service stop" {
     skip_if_remote "podman system service unavailable over remote"
+    local runtime=$(podman_runtime)
+    if [[ "$runtime" != "crun" ]]; then
+        skip "survival code only implemented in crun; you're using $runtime"
+    fi
 
     port=$(random_free_port)
     URL=tcp://127.0.0.1:$port
diff --git a/test/system/410-selinux.bats b/test/system/410-selinux.bats
index d437465a4f..52c428884d 100644
--- a/test/system/410-selinux.bats
+++ b/test/system/410-selinux.bats
@@ -209,7 +209,7 @@ function check_label() {
 	# https://github.com/opencontainers/selinux/pull/148/commits/a5dc47f74c56922d58ead05d1fdcc5f7f52d5f4e
 	#   from failed to set /proc/self/attr/keycreate on procfs
 	#   to   write /proc/self/attr/keycreate: invalid argument
-	runc) expect="OCI runtime error: .*: \(failed to set|write\) /proc/self/attr/keycreate" ;;
+	runc) expect="OCI runtime error: .*: \(failed to set\|write\) /proc/self/attr/keycreate.*" ;;
 	*)    skip "Unknown runtime '$runtime'";;
     esac