I have noticed some US airlines operate 3 pilot across the Atlantic from East Coast. Not particularly long sectors 7/8 hours.
Most European Companies operate 2 crew.
BA for example operate all E Coast USA trips with a two pilot crew on all types, including the A380. Includes UK- Chicago, Washington , and Canada Montreal and Toronto etc.. Prestwick -Atlanta also was operated two crew on B4744F BA Cargo.
Controlled Rest is of course a UK CAA allowed procedure.