More corrections not yet noted by others:
Harrison's solo debut was "Wonderwall Music" on Apple in '68.
Morrison's solo debut was "Blowin' Your Mind" on Bang in '67.
As Ben came close to pointing out, Nirvana's debut was "Bleach" on SubPop in (can you believe it?!) '89.
(BTW, that "My Sharona" song really began a long and storied career for The Knack, didn't it?)
Audiofeil has kindly corrected a few others, now I'll return the favor:
"Pick Up The Pieces" was a single off of AWB's '74 Atlantic debut simply entitled Average White Band, but they had an earlier album on MCA, '73's "Show Your Hands".
"Centerfield" (WB '85) was John Fogerty's third solo album, after "John Fogerty & The Blue Ridge Rangers" (Fantasy '73 -- there was no band named The Blue Ridge Rangers, it was just Fogerty) and "John Fogerty" (Asylum '75)
Anyway, this list could obviously go on and on, but some other notable debuts I don't think were mentioned above are Elvis Presley, "Here's Little Richard", The Ramones, The Pretenders, The New York Dolls, Moby Grape, Gene Clark (solo debut after leaving the Byrds), The Dead Kennedys "Fresh Fruit For Rotting Vegetables", The Dictators "Go Girl Crazy", The Modern Lovers, NRBQ, The Monkees, The B-52s, Pink Floyd "The Piper At The Gates Of Dawn", Television, Wire "Pink Flag", The Cars, The Mothers "Freak Out", The Stooges, Derek & The Dominoes...I'll stop before I list a hundred more...
FWIW, IMO "Are You Experienced?" is probably the most world-changing debut LP ever released, only 'cause The Beatles did it more with singles at the beginning (as did most artists prior to The Beatles).
