I don't know if the word "remake" is proper. The idea is that the situation is being "reworked" to fit a different situation.   Just like the Brits did with the above mentioned shows.

There is a market for UK humor in the U.S. as well. Frankly I hear all the complaints you folks have when one of our series is imported "as is" onto your screens, why not rework it into a different setting to find a different audience?   Folk songs have done that for generations.