About an hour south of Queen Creek, near Piccacho Peak, there's an ostrich farm/petting zoo. If you've never been up close and personal with an ostrich before (or if you have kids), it's worth the stop. You'll be able to feed the ostrich, deer, and birds. I think there's also a "big truck" ride that takes you out into the desert. You can also purchase ostrich souvenirs like dusters made from ostrich feathers and ostrich egg shells.
