R.E.M.'s announcement on Wednesday that the band plans to "call it a day" prompted tearful recollections from fans about the Georgia group's indelible impact on the world of music over the past 31 years. (Cue "Everybody Hurts.") Less noted has been their impact on the world of movies. Besides appearing on dozens of soundtracks, the members of R.E.M. were instrumental in producing some of the most interesting and innovative movies of the last couple decades.