I've never done game music - but I have done music for a few low budget films (for free - just to develop some chops and get my name out there). That led to some songs being used in a couple of direct to video films and a network TV show (which generate some modest income).
At one point, a director (who had purchased the rights to a stage play) was planning a big budget "major studio" film. He heard my music (which was used in a stage production of the play he planned to develop into a film). He seemed sincere that he wanted to use at least some of my material (obviously there would have be music supervisors, etc. involved).
Well, Trimark, Sony and a couple of other studios got into a bidding war, the director started making damands (artistic freedom and all that artsy B.S.) - and the whole thing fell apart.
Sad ending - but the point is, if you are serious - do your reaserch and get your music out there to anyone who can remotely be a resource - cause you never know who may hear it (naturally - that is all based on the assumption that you've got the chops).