I live in the UK is it possible to transfer a mortgage to a bank based in a different country that doesn't operate in the UK, say Germany or United states for example?
Just googling "foreign currency mortgage", "international mortgage", or "overseas mortgage" gets you loads of starting points. I believe its an established and well used process, and they would be "classified" as a "normal" mortgage.
The process even has its own wiki page
Incidentally I considered doing it myself. I looked into it briefly, but the cost of fee's seemed to outweigh the possible future benefits of lower interest rates and currency fluctuations.
You definitely used to be able to (see this BBC article from 2006), and I would imagine that you still can, although I also imagine that it would be more difficult than it used to be, as with all mortgages.
EDIT: And here's an article from last year about Chinese banks targeting the UK mortgage market.