Thanks for the responses!
To clear it up, by "similar" I mean games that are 2D, with sideview perspective, non-scrolling screens and a mix of action and puzzle solving. I'm less interested in the setting. So basically I'm looking for games with similar "mechanics" or "presentation" to oddworld. You can even post your own games here if you made any. I'm not talking about fangames that are set on oddworld but are realtime strategy. I'm talking about original content and "jump over pit, climb up wall, pull switch, play seek and hide with bad guys, push buttons in right order to defuse bomb"- type of thing.
nate_dog_woof: I'm not so sure about the "side-scrolling" part. It makes me think of games like Super Mario Bros. or Abuse where the background is actually scrolling. In all of the games on my list the backgrounds are static.
SeaRex: Thanks, that gets close to what I'm looking for. But if I see it right each level in that game is a single screen and you can't move beyond what you see on the screen and don't get to explore the gameworld. Nice looking game nevertheless.