Arleigh Burke class would win  nuff said,(reply>), In what scenario? The type 45 is the worlds best anti air warfare ship, arleigh burke is an excellent class of ship but is nearly twenty years old and is multi purpose rather then specialising in anti-air warfare. It is more capable for land attack wih its cruise missiles but both ships use the same anti ship missiles and their anti-submarine warfare capabilites are a very similar level.