I haven't actually seen the musical, but I love the songs in the movie. They have really good lyrics, and a really good melody. I love the characters too: Tevye, Golde, Tzeitel, Hodl, Chava...They're all amazing, and each of the three older daughters' stories are interesting in their own right.
For reasons I won't go into, I only watched the first half of the movie this time around, but nonetheless, I love the whole thing. Though it is an obviously dramatized, Hollywood version of Jewish culture depicted in this movie, The Fiddler on the Roof is still both entertaining and deeply moving, with a great cast.