Really depends what mood / style of game you are going for...
A lot of current games seem to go for an "Epic Movie Soundtrack" score (is that even a genre?)... because of that, and because most action movies do just that, a lot of gamers somehow expect epic music. It is kind of a self-reinforcing loop.
On the other hand, this turns a lot of other music genres into a nice option if you want something "different"... the effect of which can be staggering. It can completly change the mood of a game (often for the better), either enhance the already existing mood or server as some kind of contrast to the story or visual theme, which CAN be quite successfull.
An old example: Rock'n'Roll Racing. As the name says, it was going for licensed Hard Rock at a time when most racing games where blaring out the same boring synthie-pop, even the science-fiction racers. Together with the games visuals the impact was stunning (the fact they picked 4 of the most awesome rock songs of all time, and did an amazing job adapting them for the SNES sound chip did help too of course).
Little Big Planet used some licensed Pop and Rock songs, and managed to do quite a good job at it. Loved "the Wedding" level, which is just a great idea visually ("wedding" and "undead", something you think cannot go together... until the crazy colorful mexican style is mixed in. Mexicans have pretty colourful festivals for their deceased that DO resemble weddings at times)... the licensed pop song by some south american band singing in spanish fits extremly well and makes the whole level even better.
Its not what you expect to be coming out of the speakers when you play a familyfriendly jump'n'run, but neither are the visuals (colourful skulls, and cheerful screaming ghosts) what you expect in your average childrens Jump'n'run.
One thing to keep in mind is that there is again an increased push for multiple music layers that can be triggered procedurally. There has been a series of articles about it on gamasutra lately, a good read if you haven't read it. Has a big impact on how the score needs to be composed, and might also limit what genres are possible to be used with such a system.
Another big thing are minimal scores, most of the game having no score and the music only being triggered at certain climax points. I guess that also will have some impact on the choice of genres, as most "calmer genres" are no longer needed, they get replaced by ambient noise.
