There are a few other stores that do offer cash back on debit cards of more than $20.00
The stores I know of that offer cash back of more than $20.00 are.
Aldi allows up to $100.00 cash back.
The store Albertsons allows from $100.00 to $300.00 cash back depending on the stores and availability of cash.
Food lion store allows up to $200.00 cash back with use of a debit card and if you use a check they allow up to $50.00 cash back.
The store Kroger allows up to $100.00 cash back with a debit card.
Safeway allows cash back up to $200.00 on debit card purchases.
Ralphs allows up to $200.00 cash back on debit card purchases.