
There's currently a MonsterVerse game for console and PC in development, although not much is known about it at the moment.
There was a Call of Duty event called "Operation Monarch" that featured both Godzilla and Kong (although they weren't playable), however, I think that event is over now.
The MonsterVerse versions of Godzilla and Kong also appear in the app game "Godzilla Battle Line".
So far those are the only games that tie in to Godzilla vs Kong as of now.