Err... off the top of my head: Run Fatboy Run, Love Actually, Reign of Fire, A Fish Called Wanda. Not all UK productions (financially), but screenplays and settings are UK.
I'm sure there's many more.
I don't think there's any real antipathy between the countries, but it's easy to play off stereotypes from either side of the Atlantic. It's just that the US makes most films - and skews it's characters and history in favour of itself (as do Russian, UK and many other film industries).