I started Game Grumps over a decade ago, and still enjoy most videos to one degree or another. Most games they don't finish, but they always have at least one game that they are working through
Not quite what you are looking for, but tehsnakerer is my favorite YouTuber who plays through video games. Not quite let's plays, though, more extensive critiques
Loading Ready Run doesn't always play through a game, as they make a lot of stuff, but they do have a thing called Play It Forward where they do do that. There's several competed games in there, I think. They're all streams first so not very edited though.