bkev's first post in the thread gave me pause - acts like the Grateful Dead didn't chart well in the singles chart for the most part but they were nevertheless a very popular band. In that vein, in bkev's second post Aerosmith's "Dream On" appears on his nominations list. That song peaked at #59, but it seems to me that everyone and their dog knows the song, so I'll allow it unless we have any objections.
As will be reflected in the original post, the #2 rule is not absolute, thanks to bkev.