I went back and forth about both games, well AS Pro or a GB Premium, so many times that I made a list of pros and cons for each title and then compared them, lol.
Ultimately, through hours or scientific research I decided upon Ghostbusters Premium :p.
For me it came down to features, audio and rules. Features wise I think GB offers more unique toys then either AS model although the toy box is one hell of an awesome main toy.
Audio I choose GB as there are a lot of unique tracks recorded for the game and each mode has a unique track. Also, I prefer the custom callouts on GB by Ernie Hudson compared to those on AS. The AS Jester callouts seem very close to the Sparky callouts in Metallica but not as good. Overall GB has one of the best audio offerings in a pin.
Rules I choose Ghostbusters as I prefer objective based rulsets. Aerosmith has an objective based ruleset as well which I like but I gave GB the edge due to having 2 more main modes, 2 video modes and potentially a 3rd wizard mode (Are you a God) if it ever gets coded.
Display. Aerosmith as it's using a full color HD display. In the end the items above outweighed having an LCD in the game for me.
Can't go wrong with either game. I would be happy with either one.