I like the names given so far. I've never really liked most names that incorporate MAME or Cade in them, e.g., MameStation, MameCade, UltraCade (spits on floor), SuperCade, etc.
I think an arcade machine should just look like an arcade machine. It's not going to hurn anyone if they can't tell by looking at it that it can play a million different games. Just give it a name that sounds like it could be a real game. ONE real game. Or style it after one of your favorites. For example, just use actual Galaga art and make like it is an authetic Galaga machine. That way you'll have something you love, and won't have to have some hokey name on it. And you can still play all million of your different games on it, even if your artwork doesn't say you can.