The F-14 TOMCAT is a "family name" of the Grumman Corporation that made it. Most fighters starting with the F4F were named after cats.
The "Cat" names started with the famous WW2 F4F WILDCAT and continued with the Hellcat, Tigercat, Bearcat to the jet age with the Panther, Cougar, Tiger and finally the TOMCAT.
Can't recall which ones they were but two other Grumman planes had the "nicknames" Bobcat & Black Cat but they didn't catch on.
Even some of the Fire Engines made by the Grumman Corp today are named after cats: Attack Cat is the small Fire/Rescue vehicle, Fire Cat is the standard Pumper & Arial Cat is their ladder truck.