I’ll go first…The Office.
Now I know the two shows are fundamentally quite different, but they adapted what was already a very successful show, and turned It into an event more successfully one that lasted for significantly longer than the original did. I say that’s a win for them.
Anything else? Life on Mars, Being Human, The Inbetweeners…?
There’s a Captain Disillusion video which shows you the effort they go to when making the US edition. Items include filming intro scenes twice (and you can see sketches aren’t as funny the second time around) and even using digital effects to change the name on the winners trophy.