Many English dubs nowadays are excellent, especially from Funimation. Fullmetal, Baccano, Soul Eater are commonly recognized, but there is also stuff like Phantom: Requiem and just recently Lupin the 3rd: Fujiko Mine. These all do have generally Western settings and/or characters, but that just helps the fit, not make it.
To wit, another favorite dub is for the lesser known Corpse Princess (Shikabane Hime). Even some fanservice shows like High School DxD have high quality--and hilarious--English dubs.
Viz offerings like Tiger and Bunny and the Berserk films (with much of the original English cast) are other recent highlights.