1. Preheat oven to 450°.
2. Combine flour, sugar, chili powder, cumin, salt, paprika, allspice, and eggs in a large bowl. Dip onion rings in flour mixture. Place half of onion rings in a zip-top plastic bag; add 3/4 cup breadcrumbs, shaking bag to coat onion rings. Repeat procedure with remaining onion rings and remaining 3/4 cup breadcrumbs.
3. Arrange onion rings in a single layer on 2 baking sheets coated with cooking spray. Lightly coat onion rings with cooking spray. Bake at 450° for 5 minutes. Rotate pans on racks; bake 5 minutes. Turn onion rings over; lightly coat with cooking spray and bake 5 minutes. Rotate pans and bake 5 minutes or until crisp. Serve immediately.