When I try to record video using the stock camera app, it briefly shows a "Camera Error" message and then force closes. If I clear the app's data/cache and then reboot, it'll work, but taking a picture breaks it again until I repeat that process (clearing the data without rebooting doesn't fix it). If I use any third-party camera app, like Camera ICS, video recording will not work unless I've gone through that same reset process.
I was able to take a mix of video and pictures using Camera ICS, as long as I did not launch the stock app and take a picture with it - that breaks things again.