After a long and labour intensive Illustrator session..

Here are all four completed vector animals:
and here they are standing in their mandala formation*:

* note that I wanted to keep the sizes of the animals equal, but also to have a sense of size relative to each other, so I struck a balance between the two. I also placed the owl a bit higher than the fox, because the owl would be up in the tree and the fox on the ground.
I also tried to vary the brown hue, to make each animal a bit different and a bit more of an individual. So the fox is a bit more orange/red than the deer and the bear is a bit greeny and the owl a bit more pink.