First let me remind everyone that I'm talking minis. Mini cows, mini goats, etc. I think people are forgeting that.
Second, I do not expect to have the lawn as their only food source. I have plently of pasture on the rest of my property.
All I am really asking is "what animals or combination of animals graze in such a way as to leave it looking like a lawn".
This lawn is just grass, fenced in with a 6' wooden privacy fence, no other landscaping such as trees, flowers, etc.
I am sorry if I didn't make myself clear, I did not mean to imply that your yard was too small to keep even full sized goats or sheep, your pen is more then big enough to keep them, but you will have to feed them, it will not support them for very long, and if your goal is to keep the grass "mowed" it doesn't work that way, they just eat it down to the dirt and eventually you will have a perfectly clean dirt pen, which is not to say that is a bad thing, but if it is not what you want then using animals for manicuring the foliage is not the way to go, they are better at eliminating it.