Thankfully film edits don't happen too much on British TV - at least, not to the extent of non-cable US films. I remember watching Speed and Die Hard while in Florida and being very amused about the cutting of sweary words without changing the scene. The result was that almost no words matched up to the actors' mouth movements.
But its Scrubs on e4 that does my nut in. They have a habit of cutting out the build up to many jokes, but leaving the punchline in because it has no reference to sex or whatever. This is just extremely confusing and irritating. Can't think of any specific examples as Big Brother has replaced it on the schedules as of late, but I am sure fellow Brits will agree here