Pick and Dig 3
The marshmellow-ish hero of Pick and Dig 3 may dress in camo and combat boots and carry a mace on his back, but his athletic abilities are weirdly selective. Without his inability to jump, especially, the puzzles in this platformer would be a lot easier. If the guy actually used that mace he's lugging around, there'd be no need to pick up shovels, picks, and ladders either. Maybe he's setting himself some kind of "snatch the pebble from my hand" mind over matter challenge.
Wander around a level with the [arrow] keys and use [ZXC] to apply a tool you've picked up. Each level features three gold coins and one gigantic gem. The gem is just for bragging rights; the coins are used to buy three upgrades in the shop: the ability to grab ladders from below, the ability to hang onto ledges, and the ability to shimmy up between two walls. The levels in this game are nonlinear, and unlock based on how many you've completed and your own ability to maneuver around the level select screen, so if you get stuck on one level, you can always try some others to get coins to upgrade. Harder levels introduce enemies, who add an element of timing challenge, and environmental hazards like lava. There's often a way to at least grab one or two coins and exit, too, so frustration levels are kept low and fun is maximized. Inexplicable handicaps for the win!