I'm looking for something similiar, but I don't know any artists that have the same sort of guitar playing style. I really like the chords this band uses in their songs.

Does anyone have some recommandations?
You could listen to John Frusciante, of course...or maybe some of the below bands will tickle your fancy:
Jane's Addiction
Faith No More
Infectious Grooves
Meat Puppets
Iggy Pop
The Bicycle Thief