Ass Yes
Bullock No-I'd guess they were used for pulling carts
Camel (single humped) yes
Camel (double humped) yes I'm sure I've seen quiet a few camel photo's, and I'm don't think the forces would be humpist.
Cat (Felix domesticus) I like cat's, so I know very well they would either run the other way, or eat any food you wanted them to carry
Dog, GS no
Dog, RE Am I too cruel? but would dogs with bombs on them be trained to run to enemy tanks(and the dog could then be detonated by remote control)
Donkey yes
Elephant yes
Emu no
Homunculus Yes-if you can define the bantam regiments in WW1 as homunculus.
Jennet yes-at least by theSpanish army :-D
Kangaroo, GS no-paticularly nitroglycerin
Mule, GS yes
Mule, Pack (Sudan) yes
Mule, RA yes
Pony yes
Rhino no
Sheep no
Water buffalo no
Yak no
Zebra no
Let's see how the monkey with the pin(and admittedly a dictionary) does