Braid | Mythic Sword

Summary pulled directly from Steam - Some text may only be applicable to Steam platform

Braid is a puzzle-platformer, drawn in a painterly style, where you can manipulate the flow of time in strange and unusual ways. From a house in the city, journey to a series of worlds and solve puzzles to rescue an abducted princess. In each world, you have a different power to affect the way time behaves, and it is time's strangeness that creates the puzzles. The time behaviors include: the ability to rewind, objects that are immune to being rewound, time that is tied to space, parallel realities, time dilation, and perhaps more.
Braid treats your time and attention as precious; there is no filler in this game. Every puzzle shows you something new and interesting about the game world.
Key features:

Newly added Steam Cloud support
Save your in-progress game to the cloud, then play where you left off from on any Steam connected computer.
Forgiving yet challenging gameplay:
Braid is a 2-D platform game where you can never die and never lose. Despite this, Braid is challenging — but the challenge is about solving puzzles, rather than forcing you to replay tricky jumps.
Rich puzzle environment:
Travel through a series of worlds searching for puzzle pieces, then solving puzzles by manipulating time: rewinding, creating parallel universes, setting up pockets of dilated time. The gameplay feels fresh and new; the puzzles are meant to inspire new ways of thinking.
Aesthetic design:
A painterly art style and lush, organic soundtrack complement the unique gameplay.
Nonlinear story:
A nonlinear fiction links the various worlds and provides real-world metaphors for your time manipulations; in turn, your time manipulations are projections of the real-world themes into playful "what-if" universes where consequences can be explored.
Nonlinear gameplay:
The game doesn't force you to solve puzzles in order to proceed. If you can't figure something out, just play onward and return to that puzzle later.