I have never gotten diarrhea from animals, but I have had to take medicine to handle roundworm, and had to go crazy with sanitizing everything and treating all of my animals/bathing them to try to prevent another infection of the household again.
I also remember developing some sort of malaise after drinking some water that may have been improperly filtered in New Mexico, where I was sick for about a week with severe diarrhea, vomiting, fever, muscle/bone pains, headache, and shortness of breath. I ended up being hospitalized for a few days after I developed breathing problems, where they ended up having to drain my lungs. :c
I think it was some weird form of stomach flu or some form of pneumonia or something, but I know what caused it, because I remember feeling odd for a few weeks after taking one drink out of a nalgene filtered with iodine tablets, and I drank some of the water that was in the screw of the nalgene's cap, and started feeling tired about an hour afterwards.
There were warnings around the park to avoid drinking unsterilized water, and to avoid all buildings or abandoned structures due to the potential for disease from mouse droppings.