My first project (Quake Planes) was a FPS and while I dont find it that fun to play it I did learned a lot from it. The way I see it is creating a doom (old school, like I did) like FPS is an fun way for beginners to learn some coding.

I agree that most shoot FPS games are to repetive & unoriginal. There some FPS gems though that are certaintly worth to try to remake them (read: being inspired by them), e.g. the more original & unique FPS games: Giants: Citizen Kabuto, Deus Ex etc.

Also sometimes it is worth to make a game merely of the gametype, e.g. Medal of Honor: Spearhead with the gametype Freeze Tag anyone?
freeze tag pic

FPS games can also be really immersive cause of the camera, namely handy for horror games.