>AdvanceMame does let Galaga run but in a very strange resolution making it apear stretched and thin.
something to try:
Digdug (among others) use the exact same resolution and frequency-try it and see if it does the same thing. If not, then you've likely got a wonky setting in galaga.ini. If it does, then you may have a wonky setting in mame.ini, or you may need to override your settings by creating specific galaga.ini files.
>They don't even appear in the GameEx menu
that sounds like a front end issue, nothing to do with mame or anything else. We probably can't help you there.
>When I try to play them in mameUI they just stop working without any error message
what does that mean? it doesn't load? it freezes? it starts up but exits? do you see anything on the screen?
You should also try backing up to mame .126. the roms likely have not changed between the two, so it'll be 1 more variable to eliminate in solving the problem.