Pixel 6a used to show a September patch as the latest, but tapping "check for updates" found a new one. As mentioned in other comments here, apparently tapping those buttons twice may help.
Says September is the latest system update. Click check updates, says it's up to date, click check updates again, says it's preparing system update and hangs out for a while - then says it's downloading and installing a 781M update.
WTF?
Update: OK finally the update completes an hour later, even the reboot took longer than usual - says it's "updated to December 5, 2025"
This phone running Android 16 for a bit over a month now.
The December updates for Pixel 7 and Pixel 7 Pro are available to manually download on Google's website [0], so the updates do exist, although Google might not be rolling them out to the general public quite yet. But the December update for Pixel 7a are completely missing from that website, and trying to update from the Settings app also shows no updates available.
There are instructions at the top of the link. You need to use "adb" from the command-line on a computer, but it won't wipe any of your data, so it shouldn't cause any data loss. If you don't want to use "adb", you might be able to use [0], but I haven't tested it myself.