“The Fast Show” (British Sketch show from the 90’s) has a hand full of edits due to music.
Mainly these segments cut from Series 2, Episode 3;
…and this one from S02E04 for some bizarre reason;
Series 2 was repeated on BBC2 in 2015 (except episode 7) in their untouched form. Here’s a great article about the changes made to home releases.
There are some more edits listed on the wiki page;