The Kitty Hawk had a near twin sister, the USS Constellation (CVA/CV-64). The USS America was a modification of the original Kitty Hawk design, having different side sponsons and a slightly modified island structure and a smaller funnel. All of the 1/800 kits of the entire Kitty Hawk class ships are the same; Otaki being the original. Arii, Academy, and Ki-Tech have each marketed the same kit from the original Otaki molds. There is no difference between them. Revell did have an offering boxed as a 1/800 Kitty Hawk that was actually a rebox of the Monogram 1/800 USS John F. Kennedy, which was not a member of the Kitty Hawk class.
The Coral Sea had two sisters, the USS Midway and the USS Franklin D. Roosevelt. Revell originally sold a kit of a generic Midway class carrier that they released under each name. These were the ships in their original axial deck configurations. Revell never modified this kit to reflect the many changes each had undergone throughout their long service lives. Otaki, then Arii, modelled the Midway as she appeared after her early 1970s refit. She then differed markedly from her sisters.
The 1/720 Italeri Kitty Hawk is simply a rebox of their excellent kit of the USS America. It does not look like the Kitty Hawk!
Finally, the Fujimi 1/700 Kitty Hawk depicts the ship as she appeared in the late 1980s-1990s; the Otaki version depicts the ship as she appeared early to mid-life.
Anyway, I hope that this answers your questions. But, keep asking if you have others!
Bill