Games like Stanley Parable

The Beginner's Guide. Someone that worked on Stanley Parable worked on it.

Dr. Langeskov, The Tiger, and The Terribly Cursed Emerald: A Whirlwind Heist. Same developer.

Jazzpunk, Thirty Flights of Loving, Gravity Bone

Dr. Langeskov. It's short, but it's entirely free.

Are you looking for that whole `meta' thing, or would a game like portal also be fine? If so, have a look at the talos principle

Event[0]

if you want exploration/puzzle, the witness is the way to go.

Secret World part of The Last Dogma:
http://store.steampowered.com/app/374510/The_Last_Dogma__Wilder_Wein_Edition/

Event0 actually Stanley Parable in space, you will talking (writing with keyboard, not selecting dialogue option, but writing full sentence like Siri or Google Now or Cortana) with ship computer. The graphic style remind me Alien Isolation.

Of what I've played of walking sim types of games, I can recommend: Lifeless Planet, Gone Home, Event[0], Vanishing of Ethan Carter, Kairo, Verde Station and maybe Proteus. None of those have the humor of Stanley Parable though. The Dr. Langeskov game already mentioned above is cool, free, and has a similar humor of Stanley Parable, and has a meta game that goes along with it.

Recent walking sims like Firewatch and What Remains of Edith Fitch both have gotten extremely good reviews, but I haven't played those yet.