Yeah well, unless Toho (the company the created and owns Godzilla) approves for the Monsterverse to keep going, then the last movie in that cinematic universe is Godzilla vs Kong. Also no, the old kaju suits weren't entirely made out of rubber. Yes rubber was used in making the suits, but it was one component of many to put them together.
And if you're tired of superhero movies, there must be other genres or whatever that might've piqued your interest at some point.