Couple ideas here.
Ice/Fighting -
A moose sorta thing, with shades of a mountain goat. A highly competitive creature that often has to fight with other of if its kind for resources in the harsh climate it lives in.
Normal/Steel -
This thing. I actually designed it when gen 3 was new and GameFreak still hasn't given it to me. C'mon guys.
Grass/Fire -
Coconut Soldier. A plant creature that hides an internal fire that it spits out of its cannon-like mouth to attack. Also, exploding coconut grenades.
Ghost/Normal -
Opossum. Since, y'know, opossums play dead.
Ideas I can't be bothered to doodle up include
Bug/Dragon - One of those long asian-style dragons but with a bunch of centipede legs.
Dragon/Grass - Snapdragon. C'mon, guys
Electric/Grass - Potato battery.
Poison/Rock - A gila monster, with the beaded scales being more like black and orange cobblestone.