Puzzle
Puzzle video games are a genre of video games that emphasize puzzle solving. The types of puzzles to be solved can test many problem solving skills including logic, strategy, pattern recognition, sequence solving, and word completion Read the full article at the Wikipedia.

Desktop Dungeons
by QCF Design
(7 Nov 2013)
Desktop Dungeons is a quick-play, roguelike-like puzzle game that gives you 10-20 minutes of dungeon-crawling action per serving.
Genre: Arcade, Puzzle, Roguelike 
AdaGate
(stable) v6.3.3 (14 Apr 2018)AdaGate is a 3D sokoban puzzle game within a Stargate / Portal fantasy setting, especially for anyone who likes escape rooms.
Genre: Puzzle, Strategy, Simulation 
DROD: The Second Sky
(11 Jun 2014)The Second Sky is the fifth major title in the DROD series and the climactic chapter in Beethro's adventures in the Great Beneath.
Genre: Puzzle, Turn-based, Role-playing 
Papers, Please
by 3909
The communist state of Arstotzka has just ended a 6-year war with neighboring Kolechia and reclaimed its rightful half of the border town, Grestin.
Genre: Point & Click, Puzzle, Simulation 
LIMBO
by Playdead
Uncertain of his sister's fate, a boy enters LIMBO
Genre: Arcade, Platform, Puzzle 
Little Big Adventure
(10 Oct 1994)Chilling dreams of destruction and doom fill your mind.
Genre: Puzzle, Adventure, Action 
Montague's Mount
1.4Montague’s Mount is a disturbing first person psychological thriller set in the bleakness of an abandoned Irish island, featuring...
Genre: Puzzle, Adventure 
RufaSwap
(stable) v2.3.7 (4 Nov 2017)RufaSwap, is a permuted picture puzzle where the challenge is to restore the picture.
Genre: Children / Educational, Puzzle, Strategy 
Gravity Badgers
Step into the space suit of a valiant space badger as he ventures into the deadly depths of deep space to save his friends, family...
Genre: Arcade, Puzzle 
Antichamber
Antichamber is an explorative first-person puzzle game, set in a labyrinth that conflicts with our understanding of space and physics.
Genre: Puzzle, Adventure 
TONG
1.3 (6 Apr 2014)Sometimes, the total is greater than the sum of the parts.
Genre: Arcade, Puzzle 
Whispering Willows
In Whispering Willows, the player takes on the role of Elena, a determined young girl with the extraordinary ability to project her...
Genre: Puzzle, Adventure