It's worth noting that today is the 67th anniversary of the Battle of Coral Sea.
While somewhat of a stalemate, or even a tactical victory for Japan, it was a clear strategic defeat and had a big impact on the Battle of Midway a month later. Consider how differently that pivotal battle would have gone if the Japanese strike force had been stronger by 2 fleet carriers -- or if the Yorktown had been sunk has the Japanese believed.
I have several games that cover the Coral Sea action in whole or part, although I've also owned others over the years.Currently I have the Coral Sea expansion, which adds maps, counters and scenarios to the classic game Midway.
I also have SOPAC, which provides a somewhat more detailed look at the same action.
The Zero! game in the Down in Flames system has a Coral Sea campaign game. This game covers plane-to-plane fighting so it's representative of the kind of tactical engagements involved but doesn't purport to show the entire battle.