What are some bands or songs I can check out?

I love the Red Hot Chili Peppers, I have all their music. I dig that funk sort of sound. I'm also way into grunge, like, ya know, Pearl Jam and Nirvana. I also really like pretty much any Chris Cornell, IE Audioslave and what not. Um, I also like some of that old school stuff, like Ain't no Sunshine.. anyways, I'm looking for some new stuff to add to my selection so.. any ideas?