I sometimes play by checking that a photo shows an animal in human care, not the wild one.
Signs are for example: wrong plants, concrete rocks, lack of leaf litter and sticks on the ground, animals obese or lacking muscles in the wild (wild big cats usually have sunken bellies and oversized front feet). And, of course, sometimes a mesh or a building is seen in the background.
It is more difficult with animal models: tame lynx, wolves, large owls etc. positioned in the wild habitat, but one can usually guess nevertheless.
Sometimes it is possible to tell which particular zoo. For example, HMW has a beautiful photo of a Pallas Cat taken in Zurich (this exhibit recently holds parakeet and squirrels).