Try Sleepytime Gorilla Museum for hard rock/metal. Check out the album “Grand Opening and Closing”
Try Animal Collective for cool weird indy rock. “Feels” is probably their most accesable album.
Try The Firey Furnaces for crazy carnival rock. “Blueberry Boat” is genius, but “EP” is probably a better place to start.
And seriously, check out Husker Du (recommended earlier).
Or Captain Beefhart, but I am not sure anyone really “likes” his music.
Also, going back to older music. The Velvet Vnderground. All 4 of the first albums are great in different ways.