Building a collection

I like many of tprreaves' suggestions, here are some more:

Beatles--Abbey Road has good sound, but my favorite might be A Hard   Day's Night (I like the stereo version, yeah, so shoot me)

Beach Boys--Pet Sounds, 90's (1996?) stereo remix
Dylan--Greatest Hits, Vol. II is a nice way to start.  Or Biograph, even
better

Rolling Stones--Beggar's Banquet
Hendrix--Are You Experienced
Fleetwood Mac--any of the early releases (Peter Green version)
The Who--Live at Leeds
Pink Floyd--Meddle or Ummagumma
Paul Simon/Simon and Garfunkel--Bookends
James Taylor--Sweet Baby James
Mamas and Papas--Farewell to the First Golden Era
The Byrds--Sweetheart of the Rodeo
Santana--Santana
Joan Baez--Diamonds and Rust
Judy Collins--Who Knows Where the Time Goes
Mozart--Sinfonia Conertante/Oistrakhs (father and son)
Beethoven--piano sonatas, Alfred Brendel
Tchaikovsky--violin concerto, many great versions to choose from (Milstein, Sophie-Mutter, Heifetz, Stern, Rabin)

Bach--Goldberg Variations, either version ('55 mono, '81 stereo)
Gershwin--Gershwin plays Rhapsody in Blue

Welcome! back- kythyn

Let's see...
The Beatles- Sgt Pepper (any format)
The Rolling Stones- Hot Rocks (CD or SACD)
The Who- Live at Leeds
Jimi Hendrix- Are you Experienced? (CD)
The Doors- 1st album (any format) - I had to add this one to your list!
Chicago Transit Authority s/t- (any format) - again, a must-own!
Beach Boys- Pet Sounds (CD/SACD)
Dylan- Biograph (boxed set)
Fleetwood Mac- Rumors (CD)
The Eagles- Hotel California- (any format)
(The) Pink Floyd-  Dark side of the Moon- (SACD)
Simon/Garfunkel- Bridge over troubled Water- (any format)
Paul Simon- Negotiations and Love Songs (CD)
Prince- 1999 (any format)
Aretha Franklin- Aretha's Gold (CD)
Elton John- Goodbye yellow brick Road- (any format)
James Taylor- JT- (gold CD)
Mama/Papa- greatest hits (CD)
The Bryds- Sweetheart of the Rodeo- (CD)
Santana- s/t (CD/SACD)
Bonnie Raiit- Nick of Time- (CD)
Joan Baez- Diamonds & Rust- (any format)
Judy Collins- Who knows where the time Goes- (any format)
Mozart- Sinfonia- (any format)
Beethoven- Piano Sonatas- (any format)
Tchaikovsky- Violin Concerto- (any format)
Handel- The Messiah -(any format)
Bach- Goldberg Variations- (any format)
Gershwin- Rhapsody in Blue- (any format)
Chopin- (any)

What? No Jo Stafford?

Pink Floyd- PULSE
Elton John- Live in Australia
Mozart- Complete Piano Concertos by Mitsuko Uchida (Decca)
Beethoven- Symphony Cycle--John Elliot Gardiner (Archiv)
Tchaikovsky- Piano Concerto #1- Lang Lang (sacrilege I know) (DG)
Gershwin- Piano Concerto-Helene Grimaud (Erato)
Bach- Sonatas and Partitas- Rachel Barton Pine, Goldberg-Gould 55’
Chopin- Ballades, Barcarolle, and F-Minor Fantasy--Krystian Zimerman, Preludes- Rafal Blechacz