My favorite one so far has been Idols of Ash, however it’s pretty short and more of a tech demo than anything else. Also, you’re climbing down instead of up, but it works very well with the grapple hook mechanic. Really fun. It’s also very cheap, currently on sale for like $2.50.

White Knuckles is good too, but I feel like I’m getting carpal tunnel while playing it. It’s fucking hard imo. The way the inventory works is a little jank, and the fact that you need to swap items in and out of your hands quickly has been really difficult for me. I might have to go back and give it another go though.

Cairn is a third person mountain climbing game that has some simple crafting mechanics as well. Cool game, also tough at times.

I got Peaks of Yore during the current sale, but haven’t tried it out yet.

There are others that I can’t think of right now, but I’ll edit the comment to add them if I remember.