Which bird species migrate between Europe and the Americas?

I know there are some species which migrate over vast distances, such as the Bar-tailed godwit (Limosa lapponica), which flies through Alaska and Africa, or the Arctic tern (Sterna paradisaea), which flies seemingly everywhere,\* but I don't know what sources to consult for other species as I am a novice birder. 

I'm especially interested in knowing about bird species which pass through the UK and also Southern USA. 

\* [NYT: Birds that migrate thousands of miles with nary a stop](http://www.nytimes.com/2010/05/25/science/25migrate.html)