These are the ones I can think of:
- The classic sitcom Three's Company was based on the UK series Man About The House. While the UK original ran for 6 seasons, the USA version proved more popular, and lasted for 8 seasons. The UK spinoffs were more long-lived though: George and Mildred lasted 5 seasons, while its USA version, The Ropers, managed to air 2 seasons. The other successful spinoff from the original UK series was Robin's Nest, which lasted 6 seasons. The USA version, Three's A Crowd, didn't do so well, and was only on air for 1 season.
- Another UK sitcom, Coupling, was remade into a USA version with the same title, which was a disaster--it was cancelled after airing 4 episodes.
- Life on Mars, adapted from the UK series of the same name, but with a slightly altered premise towards the end. The original UK series spawned a sequel, but the USA version didn't last long--it was cancelled after 1 season.
- Being Human, which retained its title when SyFy produced the USA version.
- The Killing, based on the Danish TV series Forbrydelsen. The original and US remake both ran for 3 seasons.
- Some UK Reality Competition shows were also successfully brought to the USA. Pop Idol became American Idol, Strictly Come Dancing became Dancing With The Stars, Britain's Got Talent obviously became America's Got Talent, while The X Factor retained its original title.