I was just watching some clips of their rooftop concert and the promo film for the song 'Something' and was struck by how each Beatle had his own very strong and distinct personality.
George was intense, deep and quiet (dom Fi, I think), Paul was so passionate and enthusiastic (dom Fe), John was obviously the intellectual one (Te?), and Ringo was sort of the 'grounding' clown/fool archetype (not sure of his type, but he was sure good with the drums!). I think this balance of personalities has something to do with their immense appeal, apart from their musical brilliance.
What do you guys think their types might be?
YouTube - The Beatles - Something (1969)
YouTube - Beatles - Get Back (Rooftop)