The Greatful Dead was the best performance and show experience hands down and I am not a fan of their music outside of seeing them live. Other notable shows, Mellencamp, Buffett, Dave Mathews. But I still prefer seeing lessor known artists in small venues, Tina and the B sides comes to mind for you Minnesota guys, saw a singer/songwriter showcase iin Nashville once. You get so much more raw energy and intimateness from smaller clubs. Thats why the Dead was one of the best, they still brought that to a large venue at Soliders Field, besides everything that went on associated with the show.
As for Rush, I am a big music fan and do like them, (saw once), but when it comes to grammy's, hall of fame and that sort of thiing I could care less. They are all artists and make music for themselves and fans, thats all that matters.