Kids and very young adults are the ones who spend money on video games. So basically any movie that appeals to them are the ones that have video game spinoffs. But those genres are not the entire market.
Actually, no. The largest, and target, demographic for video games is the coveted "males 16-35." That's why it is now a multi-billion dollar a year industry.
Also, you have to take into consideration the reverse of the "movie with video game spinoff."
The trend now is to take successful video games and turn them into movies. And, the ones that are turned into movies are usually of the action/adventure type, which are usually very popular at the box office. Tomb Raider 1 and 2, Resident Evil 1 and 2, Final Fantasy, Duke Nukem (in production), Max Payne (in production), they're even trying to secure the rights to HALO right now. There are others that I've left out.
Point is, video games are nowadays spawning movies far more often than movies spawn video games.
I think that might have been part of the original poster's point. It seems likely that the need for great video game writers will grow exponentially to that of screenwriters. A new way into the industry, and a much more lucrative one at that, might soon be to hone your chops at writing compelling video games (which might later be turned into movies) than writing specs for movies.