Most zero down is gone, and what is left is not credit/income related as much as it is geographical. USDA Rural may be an option dependent on location, I can connect you to a lender with strong USDA Rural guidelines experience?
Are you a Vet? Are you buying in a USDA area? If not, you will need a downpayment. The downpayment can be as low as $100 on a HUD owned home. You should consult with a mortgage officer to see if you are ready to purchase in your target area.