Just as it's hard for me to pick a favorite band, picking the worst one is also really hard because so many suck big floppy donkey dong. Now if we are just talking mainstream bands, here's a few...
Actually, rather than list bands so much, listing musical movements might work better for me. So here goes...
1: Emo (not traditional Emo like Staind - as in emotional music with some kind of heart behind it - but the whining teen angst bands. Seriously, pick one, they all stink.)
2: Grunge (I hated grunge when it was fresh and new, and not just the music but its effect on its fans was obnoxious all throughout high school for me. It's like it suddenly became taboo to bathe or wear clothes that are washed regularly).
3: Deathmetal (Cookie Monster rock, I mean Christ, how is that a skill? I have all the muscial ability of your average turnip and if it's something I could do, then it's not music).
Now I am primarily keeping to Rock here, but I'll just point out for the record I also hate Country, Rap, Hip Hop, Pop music... actually I appear to hate almost all modern music. But I do like some bands, it just seems like most of the bands today in my opinion are weak. Happens in a lot of areas of popular entertainment. See modern movies for instance - most range from POS juvenile comedies to highly pretentious "art" movies, and lame duck action/thriller movies in between.
It's all because there doesn't seem to be an original voice anymore. You just get a lot of cookie-cutter types that play follow the leader and the various entertainment industries keep cranking them out - more Emo bands that all sound the same, more Anger Rock with poor quality singers growling at the world, more Crap-Metal bands continue to spring up, and so forth. Frankly picking the "worst band" is as hard as trying to pick which individual turd is the most disgusting out of the pile.