I love The Rutles! The songs are superb imitations of The Beatles songs, yet they are more than that, as they are mostly great songs in their own write [whoops!] Neil Innes has created some very clever parodies, which often take a swipe at several Beatles songs at once. The lyrics are great fun. My favourite line is from Goosestep Mama, which is meant to be from The Rutles days in Hamburg:
"You've got nothing to ein, zwei, drei, vier!" [It may help if you say it out loud, but then again, maybe not!]
The parody on Roll Over Beethoven features a lyric about Blue Suede Schubert, the King of the Bop, and backing vocals "Bop Schubert, bop bop, Schubert" which make me crack a smile every time.
Some of my other favourite tracks are:
Doubleback Alley, parodying lyrics, melody and instrumentation of Penny Lane
Get Up and Go, which is lampooning Get Back
Living in Hope which will remind you of Ringo's masterpiece, Don't Pass Me By
With a Girl Like You effectively imitates If I Fell, and is also a pretty song
Ouch!, which is a very close imitation of Help!
Another Day could be serious if it weren't so close to Martha, My Dear's instrumentation and style
The original gramophone record featured a fantastic 18 page booklet, satirising the Magical Mystery Tour LP packaging. If you can find one in a second-hand shop, I am sure you will be rewarded, as it has much more material than the CD packaging [but the CD has 6 more songs].
I also recommend Archeology, which is an inventive poke in the eye at The Beatles' Anthology.