Regenerating old ships is all about balancing the cost of bringing them back into service based on what mission sets they could provide, how degraded a capability compared to their modern counterparts is acceptable, and how long they could remain in service once the money has been invested in them.
Aside from the Kitty Hawk, the best candidates for regeneration are the ships that could take on lower-end tasks, and thus not require the huge amount of technological investment as their more advanced cousins require. Primarily this includes the Navy’s mothballed logistical ships and especially its Oliver Hazard Perry class frigates. The tough Oliver Hazard Perry class ships were retired too soon by many accounts—a symptom of their fiscal neglect more than anything else—and were ripe for a major upgrade like many of the second-hand models operated by allied Navies around the globe have received. Some of these enhancements include the installation of Mark 41 vertical launch systems and upgrades to the ship’s sensors and combat systems.