Original UK cinema and video versions suffered a very brief 1 second sound cut to the scene where Iris unzips Travis's fly in the bedroom. The BBFC finally restored this cut in 1993.
When shown on American terrestrial TV, it was heavily cut by 15 minutes or more. Many dialogue scenes had obvious jumps because of missing pieces, the shooting sequence was made short and confusing, and the following pans down the hallway were removed. This version also had a disclaimer card added before the end credits. There's also a parental advisory before the movie begins.
When shown on AMC as the 30th Anniversary Restored edition, it was cut noticeably (but not as heavily as before), and had an extended scene added at the end. This version had the same running length as the original.
Some TV prints mute all the profanity and severely edit the final shootout in the brothel. Also removed is a point-of-view shot as Travis aims an unloaded gun out an upper story window when he meets the gun dealer in the hotel room.
The first Norwegian theatrical release of this movie was cut a few seconds in the final shootout in the brothel but some years later the movie passed uncut.