Examples include: Scary Game Squad, Gamegrumps, Team Double Dragon, and the like.
I just find let’s plays a lot more entertaining when multiple people are playing and chatting than when it’s just one person rambling. But these are weirdly hard to search for!
If you don’t mind a group of friends playing multiplayer, there is Stumpt. Depending on the game they’re playing, you either get some commentary about the game or in the case of videos like their Game of Life 2 videos, they kinda just talk about whatever because they’ve played it so much.