:D REM frontman Michael Stips threatened long ago to keep his band out of the hall of fame unitl the monkees are inducted. mean while,the hall has yet to recoginze:
(i've never been a huge fan of REM but i like the fact that they did that!)

electric light orchestra

the zombies

the hollies

Graham Parker

Nick Lowe

and many more!

add

Chicago Transit Authority (aka Chicago)
Kiss
Poco
of course The Monkees
Michael Nesmith - for his solo ventures
Ringo Starr - solo
The Association

Is The Mothers of Invention in the hall or strictly Frank Zappa solo?

i don't know i don't think i heard anything about them!