A lot of team games can have something like this. I'm throwing my pitch in for Deep Rock Galactic because it is one I know well. I'm a decently good player at this point and I still have a blast joining games with greenbeards. I get the challenge of carrying and teaching the younglings and they get to see the kind of magnificent bears they'll have one day. There is decent variety in how you can approach the game with different classes and the roles people pick for different challenges. As for two different genre of game where you're playing together, I'm not sure. I think that Age of Empires 2 could do something kinda like this. You can assign multiple people to the same faction and everyone has control of everything in that team. It is a bit clunky but you can do i teresring things like one person is tasked with infrastructure, another with combat.