You can meet or beat all of those categories with no AF cards.
US Bank Altitude Go - 4X dining, no AF
Amex Blue Cash Everyday - 3X groceries, no AF
Amex Blue Cash Preferred - 6X groceries, 3X gas, $95 AF
WF Propel, WF Autograph - 3X gas, 3X dining, 3X hotels, 3X flights, no AF
Citi Double Cash, WF Active Cash - 2X everything, no AF
Citi Custom Cash - 5X on a category you choose (I use it for gas), no AF
US Bank Cash+ - 5X on two categories you choose (I use it for Utilities and Internet), no AF
BOA Customized Cash - 3X on a category you choose (I use it for online shopping), no AF
Alliant FCU Cashback - 2.5X everything, no AF