It's more about listening to the record as created by the artist, every album is an artistic statement and especially for a group as awesome as the Beatles, it's criminal to not know which songs are on which albums, or to not even know a large portion of their material.
Also not sure how deep the compilations go that you have listened to, but I would certainly say that Norwegian Wood, In My Life, Here There and Everywhere, and Tomorrow Never Knows are essential.
Assuming you have an iTunes or Spotify subscription, one of the beautiful things about them is that you can go back and listen to every album by an artist in the correct order, at your own leisure, and at no extra cost.