I really gotta write that hyperrogue post because I don't see it done justice in discussia about hyperbolic games and that desperately needs to be changed
it's genuinely one of the most playful, creative, wonderful games I've ever played, and that's on top of it being in a novel geometry. it just goes so far beyond the barely-more-than-a-tech-demo hyperbolica or any "x but it's in hyperbolic space" (which absolutely still deserve to exist, to be clear!), it feels like it really lives and thrives in hyperbolic space.
it has lands like the dice reserve, where you have to carefully manipulate dice into being rolled into their highest number, and another land where you have a sword that points in a fixed direction, but using holonomy lets you rotate it through moving around. it has Cocytus, where the lake beneath you melts if you stick around too long, it has Galapagos where you use visual indicators to get to a more and more specific area, to a degree of specificity that would be impossible with the measly spread in euclidean space. it has the land of storms where connections formed between charged and grounded cells destroy everything in between. and it has so much more.
on top of that it has a ton of options for exploring geometry in yet-more ways, you can "experiment with geometry" and go into the 3d Thurston Geometries, weird things like Nil and Solv. you can explore hyperbolic manifolds. it even has other modes like a drawing mode and a racing mode for yet-more ways to engage with the 2d hyperbolic plane.
so like. hyperrogue, it goes so far beyond just being some game in hyperbolic geometry, it's incredible even independently of that. its simplistic base mechanics allow the designers to play with the ideas in a number of ways, and sometimes it's easy to forget you're playing a game in a novel geometry because of how well it works. I rly recommend playing it. uh, link here, free version is currently up to date: