I'm a huge Beatles fan and I'm a huge fan of psychedelic music. I think this makes me pretty well suited to help you choose the best Beatles albums for you to start out with if you are a psychedelic music lover. These three Beatles albums are the best suited for psychedelic music fans.
#1 Magical Mystery Tour
While it's not considered an official Beatles album by many fans as it was originally released as an EP in the UK in Buy Ehrlich Spot Test Kit 1967 but the US version with the extra previously released singles padded on to make it album length is the now the official version. It's The Beatles most purposefully "psychedelic" album. It represents The Beatles at their most experimental in the studio (just check out "I Am The Walrus" & "Blue Jay Way" for proof. ) I also find songs like "You're Mother Should Know" to be quite psychedelic. It's just so out of left field. If you are a Ween fan (and you should be) I think you should make note that these sorts of Paul McCartney weird genre workouts were very influential on Ween (see also "When I'm 64" & "Honey Pie. ")
#2 Sgt. Pepper's Lonely Hearts Club Band
This is an album that's meant to be listened to as an album if you know what I mean. I could spit out song titles like "Lucy in the Sky with Diamonds" but I think it's best to just listen to the album as a whole and really try to take it in. There's a reason it was considered so ground-breaking in 1967. And while it may be hard to understand the context of '67 when you listen to the album today, it's still exceptionally good music that does indeed take the listener on a "trip. " I mean just think about the fact that this album goes from "Being for the Benefit of Mr. Kite" to "Within You Without You" to "When I'm 64" one after the other. It would be hard to find three songs that are more different from each other in style yet they somehow all fit together. This is true musical genius.
#3 The White Album
Some would say that The White Album was The Beatles retreat from psychedelic music but I would say that people that say that are misreading things quite a bit. I don't consider The White Album to be a retreat in anyway. It's further expansion of the themes they were already exploring. This album is filled to the brim with mind blowing songs like "Happiness is a Warm Gun, " "Dear Prudence, " "Helter Skelter, " &
"Revolution #9. "
What I think is really psychedelic about The White Album is how there are 30 tracks on it and almost every one of them sounds like they are from some other band in some other world but somehow simultaneously they all sound like The Beatles. As a side note; I consider The White Album to be the greatest album of all time - psychedelic or not.