Sometimes you even don't need dubs - except the human voices. I do record like that myself all the time - and it's a great way to do it. Most Beatles songs are recorded with a ground track of three or four instruments and cue song - and then some overdubs (I mean these tracks are what ends up on the final record). It's a very interesting way to listen to records. Sometimes I take a CD with Beatles and then listen to it - instrument by instrument: First for instance only lead guitar, then only rythm guitar, then bass and the song - even drums. I'm still finding new things listening to the records.
We do play a lot of Beatles stuff in our rock'n'roll trio: Guitar, bass and drums and three voices. I also play the non-Lennon-McCartney recordings from the early days. ask me and I play any solo or chord progression from any Beatles song (even the 'And your Bird Can thing' harmonized solo) - and I'm not joking.