The Forrestal class was in the middle of the progressive increases in US carrier displacements:
USS Ranger, CV-4, ~15,000 tons (first purpose-designed US carrier)
Yorktown class, ~20,000 tons
Essex class, ~31,000 tons
Midway class, ~45,000 tons
Forrestal and Kittyhawk classes, ~60,000 and 61,000 tons (Kittyhawk class includes USS John F. Kennedy)
USS Enterprise, ~93,000 tons (first nuclear-powered carrier)
Nimitz and Gerald R. Ford classes, 100,000-105,000 tons
USN jet aircraft started on the Essex and Midway class carriers. The Forrestals are sometimes called the first "super carrier", but in the fuller context, 1934 to the present they are part of an evolutionary continuum. The Forrestals were the earliest carrier class large enough to carry F-14 Tomcats (the Midways could carry F-4 Phantom IIs and F/A-18 Hornets, but not Tomcats).