Vintage Vinyl news blog has a story about an upcoming movie where a Beatles song appears in their own version.
However, the blog implies that there has been a 'ban' on using The Beatls' recordings in a film, and the headline says that this is only the third time that happens. It's the new "Social Network" film which has The Beatles' recording of "Baby You're a Rich Man". The blog also lists the upcoming japanese film "Norwegian Wood" featuring the song of the same name, and "Dinner For Schmucks" features "Fool On The Hill".
Of course, we can list many more films.
In '82 it was "When I'm 64" by the Beatles that opened "The World According to Garp".
Being the Superman and Beatles fan that I am, I was of course delighted when I heard the Beatles play "Roll Over Beethoven" in "Superman 3" in 1983.
"Twist and shout" performed by The Beatles was played in "Ferris Bueller's Day Off" way back in 1986. The recording was even tampered with, as it featured an overdubbed horn section.
Next up was "Withnail and I" in 1987, featuring "While My Guitar Gently Weeps". Of course, it was a Hand Made Film, a company owned by George Harrison.
The same year saw a new Hollywood release, "Can't Buy Me Love" with the Beatles providing the title track.
There are lots more, listal.com has a list of movies with Beatles songs, although it also includes versions performed by other artists.