The entire Master of Puppets album is fun to play. Master of Puppets is an easy song to play, only a few "hard" parts. Battery is fun to play as well. It took me hours of practice but I can now play it at full speed. Once you can play Battery at full speed it is super fun to play. Acoustic songs I like to play are "Realms of Death" and "Angel" by Judas Priest. "Got the Time" by Anthrax is also fun to play.
Any Rage Against the Machine song is fun to play as well, but be careful, when I play I go crazy and start to break stuff.