EDIT: It seems I interpreted this as if you're looking for education, but I might be mistaken?
What is the "american school" of playing?
Is there anywhere particular in Europe you had in mind? There are dozens of Royal Musical colleges, Conservatories/Konservatorium, music academies, Musikhochschules and the likes. Are you looking for a Bachelor's degree? (I believe that's called undergrad in the US?), or Masters, or exchange programme?
A quick google search: Study Music in Europe
Hope it helps! If you come over here, don't be confused about roundabouts, try out all the different kinds of beer and look at all the really old stuff.