Well, I USED to - haven't had the time or drive to very much lately, although I drew up a big old page of images to go on profiles on my website. These days I design beasties to go into my own universe - I suppose some of them would be vaguely odd-inspired (for instance, DuPhee are like a cross between a cuttlefish and a dog, and naturally have been dubbed "Cuttlepuppies").
Here's some of them, anyway - some belong to a friend of mine, some are mine.
Oddworld fanbeasties
Clockwise from top left: polar drakkic, ant bird, plains drakkic, celernex, "leech" (never got a proper name), (bottom right doesn't count as it's a genetic hybrid), shaggy elum, forest drakkic, honeypot termite, and a seeyete. I'm working on another page of doodles, but a number of the creatures (like the lamprile, a sentient creature with a froglike build, and a trunk with teeth like a lamprey) have been "de-Odded" and gone into one of my own worlds.