Mortal Kombat, Street Fighter II: The Animated Movie, Postal, Detective Pikachu, Sonic 1&2. Not necessary the greatest of cinema, but all of them did a good job of turning the source material into a movie. Probably helps that the source material of all of them is relative simple and leaves plenty of room for interpretation.

Also Steins;Gate, though that's a visual novel turned anime, not a regular game. But probably the best example of staying very close to the source material and succeeding.