It's probably a dumb answer, But I always thought the Ratchet & Clank games had similar things to Oddworld. The first obvious point would be that they had Gamespeak mechanics when you were controlling Clank. The other similar thing is that a lot of the enemies look... well Odd. They look like they could be from Oddworld. (There's a enemy in Ratchet 2 that looks almost identical to a Slog.)
The only other game that comes to mind is Bioshock. I've only played the first one and I thought that had a Oddworld feel to it.
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