Deadlight takes the monochrome running, jumping and shooting action in a more mature direction and with a deeper and coherent story. It draws on older (and equally excellent) platform games Another World and Flashback. You control Randall Wayne, a single character trying to survive the zombies to get to his family, which he does by running, jumping and solving puzzles.
These games offer a similar experience or are about a theme that Deadlight addresses. Also, if you want to play a game like Deadlight but don’t have PC, PS4, Xbox 360 or Xbox One, these are a good alternative.