The Thai DVD excludes all cigarettes and blood by using mosaic.
In Germany the film was released by Kinowelt in three different versions: the uncut theatrical (US R-rated) version (with a SPIO/JK approval, released in three editions: standard amaray, steelbook and 2 disc limited collector's edition), FSK-18 version (cut by 5 minutes) and FSK-16 version (cut by 21 minutes). The US unrated version of the film did not get a SPIO/JK approval and was therefore not released officially in Germany (it was however released in Austria, resulting in high exports to Germany).
The Unrated version of Saw III differs from the theatrical in many ways. The first noticeable difference is that the opening scene is more violent. The shots of Eric's heel being broken are much closer, and more detail is shown. When Kerry is discussing Eric with Rigg, the scene is slightly extended, showing her commenting on how she can't sleep because of his disappearance. When Kerry's trap triggers, a frontal shot is shown of her ribs being torn from her torso, leaving her organs exposed. Flashes showcase her innards dropping to the floor. The next noticeable difference is during Danica's Freezer Trap. A few extra shots show Jeff slamming the door, trying to get out. During the Rack, Tim's limbs are shown much more, showcasing his skin tearing as the bone shatters out of his skin. The flashback fight scene between Amanda and Eric is also extended. Amanda is shown hearing Eric's cries for his son, and seems distressed. While maneuvering in the corridor, Eric sneaks up on her and the fight resumes from there. The last and most major difference is the film's ending. In the theatrical, once the montage of the victims passes by, Lynn's corpse is shown quickly, before cutting to Jeff screaming, then on Jigsaw's corpse, and finally cutting to black. In the unrated, during the montage the music slighty overlaps, skipping a couple of seconds forward, and then showing Lynn's mutilated head, zooming in on the gory details, and then slowly fading out to white. Surprisingly, the brain surgery scene was not altered.
The Director's Cut, based on the unrated version, has about seven more minutes of footage and an extended ending, resulting in a running time of just over two hours.