Om Nom has found a way back through time, and his ancestors are waiting for sweets in every era he visits. Cut The Rope Time Travel keeps the physics puzzles of the series: a piece of candy hangs from ropes, and you decide which ones to cut and when, so it swings and drops into a hungry mouth.
The twist is that every level has two creatures to feed instead of one, Om Nom and a relative from the past, and both need candy. That doubles the planning, because a cut that serves one of them can send the other candy off the screen. The trip passes through the Stone Age, Ancient Egypt and Greece, medieval times, the Renaissance, a pirate ship, the Wild West, the Industrial Revolution, a disco era and the future.
Watch how the candy moves before slicing anything; a well-timed cut beats a hurried one. For pure logic with no physics at all, 2048 Classic is a good switch.