Bionic Commando Rearmed 2

This is very easy to do, even if you have never played the first one. When it seems like there's an obstacle that you can't pass without jumping, look around and you may find a lamp post to grab onto and swing to the other side. Since you can start swinging at any time, this shouldn't be a problem. Alternatively, you can beat the game while jumping, and then you will unlock a new difficulty called "Retro" - in this difficulty you can't jump.