I do not have any film music ringtone on my phone however if I would have one it would have certainly be Jerry Goldsmith`s Main Title from The Wind and The Lion, that would have been awesome (and attention maker because if I had that and I would be in public when the phone starts ringing with that music everyone would turn their heads towards me).
UPDATE: This thread made me rethink and I have changed my mind and now I do have the Main Title from The Wind and The Lion by Jerry Goldsmith as the ringtone on my cellphone.
I still have "The Raiders March," but currently -- even though it's technically not "film music" -- I'm using a movie ring tone that I've wanted to have since 2001 and finally found a clean, useable version of.
I've got custom ringtones set for people I know. Anyways for main unknown calls that come through I've got it currently set to the last 41 seconds of "Joe Berserk" from the Star Trek TOS episode "The Naked Time".
I use some sounds or ringtones for specific people on my phone, not all of them film music or even music related. I'm not particularly fond of having a piece of music play ever time my phone rings.
But I do have a few film score (or film score related) sounds in use on my phone:
Spouse Ringtone -- Super Mario 3 (no, she does not look anything like Super Mario... I just like this sound and it is easily heard even in louder surroundings.
Various ringtones for different people (no names here. ;-) Snippet from RUNAWAY "The Spider" (Jerry Goldsmith RUNAWAY) Snippet from HEARTBEEPS' Main Title (John Williams) Snippet from STREET OF SAN FRANCISCO Main Title (Patrick Williams) Snippet from PULSAR (Vangelis)
And I use the 5 note motif from CLOSE ENCOUNTERS OF THE THIRD KIND for incoming private e-mails.
The rest of my phone is set up with not too intrusive sounds and sound effects. :-)