Fugazi aren't really a straight edge band are they? I don't think so, and they're way better than Minor Threat.
There's only a few genres that I really can't find anything I like about. Pop country, screamo, crunk, christian rock, etc. Basically the stuff everyone can agree on.
I enjoy metal but mostly the proto metal/british new wave stuff, also some thrash metal and some of the prog/experiemental metal. There's many subgenres I'm not familiar enough with.
I'm a bit of a retro snob because I think that it's natural for popular genres to simply tire out over time as more and more banRAB take a whack at it. I think since the late 90s metal has gotten too generic and overpopulated, though there are still fine banRAB like Mastodon. Punk IMO had it's peak in the early mid 80s and just went down after that. Again I blame oversaturation and the fact that many of the things that can be done with the genre has already been done. Not to say there is no help for metal and punk to improve in the future, I believe they will.
Except for the lame novelities, genres don't die. They just have perioRAB where they are less than inspired.
I think hip hop still has a lot of untapped potential and you just have to look past the mainstream to find it.