1. The Who: The Very Best Of The Who (1965-1981). My first record by the Who, and it completely blew me away. I think it's a great introduction of the band; and although I already have the original albums, I still need it because 10 of the 20 songs are non-album singles.
2. The Beatles: Past Masters 2 (1965-1970). A very essential compilation because, as we all know, it includes non-album singles by the Fab Four. In my opinion, most of the tracks rank among the best Beatles work.
3. Cream: The Very Best Of Cream (1966-1969). An excellent collection with everything I need by the trio. Complete and representative are the key words: 20 tracks from a band that recorded only 4 (or should I say 3) studio albums.
4. The Beach Boys: The Very Best Of The Beach Boys (1962-1988). Pet Sounds and this compilation are all the Beach Boys records I need. Although it includes 30 hits from a period of 26 years, it's focussed on the mid-60's, the great time of the band.
5. The Kinks: The Singles Collection (1964-1970). A very complete collection of 60's singles by the Kinks. It contains 25 tracks and it's almost the equivalent of the Beatles'
Past Masters.
6. The Yardbirds: Greatest Hits (1964-1966). This record is a perfect testimony of the wild experimentation of the Yardbirds during the Eric Clapton and Jeff Beck days. It contains almost everything we can find in the American albums
For Your Love and
Having A Rave Up.
7. The Beatles: Past Masters 1 (1962-1965). The other essential Beatles compilation. I think it's not as impressive as the second volume because the band had not reached its peak yet, but it's wonderful and relevant anyway.
8. Buffalo Springfield: Retrospective (1966-1968). A nice summary of the Buffalo Springfield brief catalog (they only recorded 3 albums). Highly recommendable if you need just one album by the band.
9. Simon & Garfunkel: Greatest Hits (1965-1970). This is a famous compilation released in the early 70's. It includes the most well known hits by the duo plus some live recordings.
10. The Zombies: The Singles A's & B's (1964-1967). One of several A's & B's compilations by the Zombies. I prefer this one because it includes both sides of the 11 singles released before the marvelous
Odessey And Oracle, so nothing is repeated here and there; thus, you don't need other longer compilations if you have
Odessey And Oracle (and you should have it!).