Was the F-4 Phantom the only fighter to be in service for the US Navy, Air Force and Marines?
The statement is accurate. 

Here is a list of all U.S. Fighter Aircraft, in service and retired on Wikipedia. The following is an excerpt from that list for relevant aircraft.


F-4 Phantom (Air Force/Navy/Marines)
F-5 Freedom Fighter (Navy)
F-6 Skyray (Navy/Marines)
F-7 Sea Dart (Navy)
F-8 Crusader (Navy)
F-9 Cougar (Navy)
F-10 Skynight (Navy/Marines)
F-11 Tiger (Navy)
F-12 Lockheed (Air Force, A12 Variant)
F-14 Tomcat (Navy)
F-15 Eagle/Strike Eagle (Air Force)
F-16 Fighting Falcon (Air Force)
F-17 Cobra (Air Force)
F-117 Nighthawk (Air Force)
F-18 Hornet/Super Hornet (Navy/Marines)
F-20 Tigershark (Prototype, cancelled)
F-21 Kfir C-2 (Navy)
F-22 Raptor (Air Force)
F-23 Black Widow II (Air Force, cancelled)
F-35 Lightning II (Navy/Marine Corps/Air Force)
F/P-80 Shooting Star (Air Force/Navy)
FH-1 Phantom (Navy/Marines)
F2H Banshee (Navy/Marines)
FJ-1 Fury (Navy/Marines)
F-86 Sabre/Super Sabre (Air Force)
F-82 Twin Mustang (USAF)
F7U Cutlass (Navy)
F-102 Delta Dagger (Air Force)
F-106 Delta Dart (Air Force)
F-104 Starfighter (Air Force)
F-101 Voodoo (Air Force)
F3H Demon (Navy)
FJ-2/FJ-3 Fury (Navy/Marines)
F-89 Scorpion (Air Force) 
F-84 Thunderstreak (Air Force)


This list includes fighter aircraft introduced or in service after 1949, when the US Air Force was created until the end of 1960 when the F-4 Phantom came into service.

Table image was removed because the data is out-of-date. You can view the original image here.