I've recently played a bit of FarCry 6 since its on PS+ Extra and...honestly, I don't get who these games are made for these days. There's a veneer of absurdity and seriousness but it doesn't fully commit to either, while having the typical overstuffed Ubisoft open-world. Ends up not going into either the military shooter direction or the goofy, zany shooter direction or in any other direction. It just kinda is, like a fatty, filling but ultimately bland fast food.
So yea, a reinvention would be good, but I at this point I believe Ubisoft games are their own genre, for better or for worse.
For Spider-Man, I guess the easy answer would be Miles Morales, huh? :P
But I know what you meant, its a game with ridiculously fun mobility though its hard to find a good equivalent. There's few things that feel as good as webslinging. So on that front (Open world + Mobility) I'm going to suggest the Just Cause series. 2 is generally the one people are the most fond of, though I vastly preferred 3. 4 is a mix of both but it didn't gel well with me. You are not quite Spider-man, but a grappling hook and wingsuit go a long way of providing a similar experience.
For Genshin, the one game with open-world and exploration I've swapped around with it before is Assassin's Creed Odyssey. Large world, fair number of sidequests (I've actually never finished the game from how big it is) and a lot of climbing - with no stamina bars. The loot quality feeds the same endorphins as a good gacha roll, and its free.