I had to sell off part of my collection several years ago, but I still own 16 LPs (vinyl). I also have the first 45 I ever bought (Hey Jude / Revolution), some CDs, and a Beatles sound sheet (pictured below), as well as a bunch of videos on VHS tapes.
Out of the albums, I think I'd have to say that 'Revolver' is my favorite.
Technically, it's my dad's collection (though we share it) but he's missing the last two albums. My personal favorites are Sgt. Pepper's, Magical Mystery Tour, and Please, Please Me :).
Actually it's my dad who owns all the albums, though I have them all on iPod. (I decided not to take the version of Love Me Do where Ringo doesn't play the drums, though). And my favourite Beatles album is, and has always been Help!