diff --git a/mkosi.images/system/mkosi.conf.d/10-opensuse/mkosi.conf b/mkosi.images/system/mkosi.conf.d/10-opensuse/mkosi.conf
index a1a47783507..95c5c194a42 100644
--- a/mkosi.images/system/mkosi.conf.d/10-opensuse/mkosi.conf
+++ b/mkosi.images/system/mkosi.conf.d/10-opensuse/mkosi.conf
@@ -43,7 +43,7 @@ Packages=
         group(root)
         gzip
         iputils
-        kernel-kvmsmall
+        kernel-default
         kmod
         libasan8
         libkmod2
diff --git a/mkosi.images/system/mkosi.conf.d/10-ubuntu/mkosi.conf b/mkosi.images/system/mkosi.conf.d/10-ubuntu/mkosi.conf
index 957d00e4297..86f9736ed97 100644
--- a/mkosi.images/system/mkosi.conf.d/10-ubuntu/mkosi.conf
+++ b/mkosi.images/system/mkosi.conf.d/10-ubuntu/mkosi.conf
@@ -5,6 +5,6 @@ Distribution=ubuntu
 
 [Content]
 Packages=
-        linux-image-virtual
+        linux-image-generic
         linux-tools-common
         linux-tools-virtual
diff --git a/test/integration-test-wrapper.py b/test/integration-test-wrapper.py
index 4465576c5bc..2d2fba25ebb 100755
--- a/test/integration-test-wrapper.py
+++ b/test/integration-test-wrapper.py
@@ -102,6 +102,7 @@ def main():
         ),
         '--credential',
         f"systemd.unit-dropin.{test_unit}={shlex.quote(dropin)}",
+        '--runtime-network=none',
         '--append',
         '--kernel-command-line-extra',
         ' '.join([
diff --git a/test/meson.build b/test/meson.build
index f8e40fa0065..235c68ae29c 100644
--- a/test/meson.build
+++ b/test/meson.build
@@ -338,9 +338,38 @@ integration_test_wrapper = find_program('integration-test-wrapper.py')
 integration_tests = {
         '01': 'TEST-01-BASIC',
         '02': 'TEST-02-UNITTESTS',
+        '03': 'TEST-03-JOBS',
+        '05': 'TEST-05-RLIMITS',
+        '16': 'TEST-16-EXTEND-TIMEOUT',
+        '17': 'TEST-17-UDEV', # Can be flaky when overloaded if timeout abort test is slow
+        '19': 'TEST-19-CGROUP',
+        '25': 'TEST-25-IMPORT',
+        '26': 'TEST-26-SYSTEMCTL',
         '29': 'TEST-29-PORTABLE',
+        '30': 'TEST-30-ONCLOCKCHANGE',
+        '32': 'TEST-32-OOMPOLICY',
+        '34': 'TEST-34-DYNAMICUSERMIGRATE',
+        '36': 'TEST-36-NUMAPOLICY',
+        '38': 'TEST-38-FREEZER',
         '43': 'TEST-43-PRIVATEUSER-UNPRIV',
+        '44': 'TEST-44-LOG-NAMESPACE',
+        '45': 'TEST-45-TIMEDATE',
         '50': 'TEST-50-DISSECT',
+        # Can be flaky when overloaded if daemon-reload is too slow to be rate-limited
+        '59': 'TEST-59-RELOADING-RESTART',
+        '60': 'TEST-60-MOUNT-RATELIMIT',
+        '62': 'TEST-62-RESTRICT-IFACES',
+        '63': 'TEST-63-PATH',
+        '66': 'TEST-66-DEVICE-ISOLATION',
+        '67': 'TEST-67-INTEGRITY',
+        '68': 'TEST-68-PROPAGATE-EXIT-STATUS',
+        '72': 'TEST-72-SYSUPDATE',
+        '76': 'TEST-76-SYSCTL',
+        '78': 'TEST-78-SIGQUEUE',
+        '79': 'TEST-79-MEMPRESS',
+        '80': 'TEST-80-NOTIFYACCESS',
+        '81': 'TEST-81-GENERATORS',
+        '84': 'TEST-84-STORAGETM',
 }
 foreach test_number, dirname : integration_tests
         test_params = {
diff --git a/test/units/testsuite-17.credentials.sh b/test/units/testsuite-17.credentials.sh
index cbdc57037e1..42d3883c396 100755
--- a/test/units/testsuite-17.credentials.sh
+++ b/test/units/testsuite-17.credentials.sh
@@ -4,6 +4,11 @@
 set -eux
 set -o pipefail
 
+if [[ $(systemctl is-enabled systemd-udev-load-credentials.service) == not-found ]]; then
+    echo "Missing systemd-udev-load-credentials.service" >>/skipped
+    exit 0
+fi
+
 at_exit() {
     rm -f /run/credstore/udev.*
     rm -f /run/udev/udev.conf.d/*
diff --git a/test/units/testsuite-19.sh b/test/units/testsuite-19.sh
index 9c2a033aa98..60c53cd80de 100755
--- a/test/units/testsuite-19.sh
+++ b/test/units/testsuite-19.sh
@@ -3,6 +3,14 @@
 set -eux
 set -o pipefail
 
+. /etc/os-release
+# FIXME: This test fails on opensuse with the following error and others:
+# Apr 25 10:24:04 H (cat)[910]: device-mapper: create ioctl on ... failed: Device or resource busy
+if [[ "$ID" =~ "opensuse" ]]; then
+    echo "Skipping due to known unexpected behaviour in OpenSUSE kernels" >>/skipped
+    exit 77
+fi
+
 # shellcheck source=test/units/test-control.sh
 . "$(dirname "$0")"/test-control.sh
 
diff --git a/test/units/testsuite-25.sh b/test/units/testsuite-25.sh
index b298c506e12..24b02cedcf6 100755
--- a/test/units/testsuite-25.sh
+++ b/test/units/testsuite-25.sh
@@ -3,6 +3,11 @@
 set -eux
 set -o pipefail
 
+if ! command -v importctl >/dev/null; then
+    echo "importctl is not available to be chain-loaded from machinectl, skipping" >>/skipped
+    exit 77
+fi
+
 export SYSTEMD_PAGER=cat
 
 dd if=/dev/urandom of=/var/tmp/testimage.raw bs=$((1024*1024+7)) count=5
diff --git a/test/units/testsuite-26.sh b/test/units/testsuite-26.sh
index 6734aee654f..27aa98edb78 100755
--- a/test/units/testsuite-26.sh
+++ b/test/units/testsuite-26.sh
@@ -386,6 +386,10 @@ if [[ -x /usr/lib/systemd/system-generators/systemd-sysv-generator ]]; then
     # at runtime, so let's just support the two most common paths for now.
     [[ -d /etc/rc.d/init.d ]] && SYSVINIT_PATH="/etc/rc.d/init.d" || SYSVINIT_PATH="/etc/init.d"
 
+    # OpenSUSE leaves sysvinit-path enabled, which means systemd-sysv-generator is built
+    # but may not create the directory if there's no services that use it.
+    mkdir -p "$SYSVINIT_PATH"
+
     # invalid dependency
     cat >"${SYSVINIT_PATH:?}/issue-24990" <<\EOF
 #!/bin/bash
diff --git a/test/units/testsuite-36.sh b/test/units/testsuite-36.sh
index 12bf1393e4b..02ca88f80df 100755
--- a/test/units/testsuite-36.sh
+++ b/test/units/testsuite-36.sh
@@ -29,7 +29,7 @@ testUnitFile="/run/systemd/system/$testUnit"
 testUnitNUMAConf="$testUnitFile.d/numa.conf"
 
 # Sleep constants (we should probably figure out something better but nothing comes to mind)
-sleepAfterStart=1
+sleepAfterStart=3
 
 # Journal cursor for easier navigation
 journalCursorFile="jounalCursorFile"
diff --git a/test/units/testsuite-81.fstab-generator.sh b/test/units/testsuite-81.fstab-generator.sh
index 4a69245ed87..e50419a0ecc 100755
--- a/test/units/testsuite-81.fstab-generator.sh
+++ b/test/units/testsuite-81.fstab-generator.sh
@@ -13,6 +13,7 @@ OUT_DIR="$(mktemp -d /tmp/fstab-generator.XXX)"
 FSTAB="$(mktemp)"
 
 at_exit() {
+    mountpoint -q /proc/cmdline && umount /proc/cmdline
     rm -fr "${OUT_DIR:?}" "${FSTAB:?}"
 }
 
@@ -294,6 +295,12 @@ check_fstab_mount_units() {
     done
 }
 
+# Drop usrhash on the command-line so fstab-generator doesn't add a /dev/mapper
+# mount for /usr, add a root= to emulate a more typical environment,
+# and remove any systemd.mount-extra=
+sed -r -e 's/usrhash=[^[:space:]+]/root=\/dev\/sda2/' -e 's/systemd.mount-extra=[^[:space:]+]//g' /proc/cmdline >/tmp/cmdline.tmp
+mount --bind /tmp/cmdline.tmp /proc/cmdline
+
 : "fstab-generator: regular"
 printf "%s\n" "${FSTAB_GENERAL_ROOT[@]}" >"$FSTAB"
 cat "$FSTAB"