Like TriggerUnhappy said, Streetlight Manifesto. They have incredibly talented members (no, not that kind of member), and I think most people would warm up to 99 Songs of Revolution if they found a song they know on it.
Also, judging from experience, not a lot of non-bass/non-music people have heard of this guy, but Jaco Pastorius was one of the craziest bassists of all time. He wrote/arranged some awesome latin (Invitation), swing (Liberty City), funk (The Chicken), rock (Blackbird/Word of Mouth), reggae (Good Morning Anya), and straight up atonal (Chromatic Fantasy) big band songs back in the day (60s and 70s), and has been one of the most influential people of modern music, especially music with a R&B or Jazz background, like the pop and the rock and the roll.
Sooooo check it out if it sounds at all interesting. Or even if it doesn't.