There used to be many debit cards that offered cash back, much like many of the best credit cards do. But since a regulatory change in 2010, there aren’t many cash back debit cards left.

Discover Cashback Debit Account: Best Debit Card Overall. With the Discover Cashback Debit Account, you can get 1% cash back on up to $3,000 in eligible debit card purchases monthly (see website ...