Rawhide, bully sticks and pigs ears are all quite fatty... if you're dog has a sensitivity to fat... then yeah, they'll make him/her sick.
My dad's dogs get antlers, but they're a very low value treat... the antler chunks sit around forever and no one seems to ever be chewing them. (I don't think they have much more flavour than wood)
I saw some REALLY cool toys on a youtube posting of Victoria Stilwell's show "It's Me Or the Dog", but I've never seen anything like that in any of the stores here.