The Doors kick major ass.
-Soul Kitchen
-People Are Strange
-The End
-Peace Frog
-The Crystal Ship
All rank as among some of my favorite songs by any band, ever. There's actually plenty of their stuff I probably haven't heard, as a few years ago I bought a 2-disc best of album and then a 4-disc box set, and I haven't really heard anything outside of those. Still one of the greatest bands of all-time, IMO.
As for the movie, it's worth seeing, Val Kilmer did do a pretty spot-on job with what he had to work with, but as has already been said it failed to show a lot of Jim's creativity. Check it out, but if you don't know anything else about Jim Morrison, don't assume that you're seeing all of who he was in the movie.