I quite prefer american The Office to the original. While the jokes may or may not be funnier in the brittish version, the american managed to splice in a healthy dose of drama too... Meaning I don't just watch it and laugh, I also watch it and almost cry sometimes, and feel much closer to the characters and their individual stories. The Office is really one of my favourite shows.
I also quite prefer the american version of Whose Line, mostly because of Colin Mochrie and Ryan Stiles.
As for anything else... No, america should stop remaking everything. I don't know what it is. I am danish, and I can certainly watch things not made in my specific country aimed at my specific tastes, and still enjoy it very, very much. Why do americans need everything localized? It's not even like anything american CAN be localized, seeing as its such a huge country with so many different demographics and all. So why do they feel a need to make shittier versions of everything? I mean, come on... This "Girl With the Dragon Tattoo" remake is just taking it too far.