5. The Moody Blues
The Moody Blues played a huge role in the early development of prog-rock, and hits like "Nights in White Satin" and "Go Now" are absolute classics. This is a band that's been drawing giant crowds for nearly 50 years, but critical respect has always eluded them. They named their 2000 live album Hall of Fame, but the actual Rock and Roll Hall of Fame has yet to even nominate them. This makes their huge fan base extremely upset (to put it mildly), but the nominating committee doesn't seem to be budging.