About 97% percent of my game collection consists of non-FPS's (80% if you also count games with a different perspective or where shooting stuff is not the primary kind of gameplay). Plenty of those are recent games and new IP's. So yeah, it's really not difficult at all to find other kinds of games.
Oh, and this is not because my tastes are so non-conformative. Here is a list of the best selling games from 2011 I just Googled:
www.cnbc.com/id/44595477/The_Best_Selling_Video_Games_of_2011
As you can see, it contains only one FPS (I don't count Portal 2 and L.A. Noire as shooters). This probably isn't the most reliable source and it's from September, so it doesn't contain Skyrim (also not a shooter). It's probably also about US and not international sales. However it is a good indication that, while Modern Warfare might be one of the best-selling franchises at the moment, shooters definitely aren't the only thing 'the masses' still buy nowadays.
I do agree that the market is oversaturated with shooters though. But that's just due too uncreative developers aping a single game's success. I don't think it is a major problem; and solely concentrating on shooters probably won't remain a good business strategy for long.