Which stores allow you to make payments on their credit cards in-store?
Most stores do.
Supermarkets, Superstores and minishops
Just like Rent-a-Center... Aaron's does not run credit checks prior to the purchase of an item. Aaron's allow you to pay monthly installments without credit. However, they do report your payments to the credit bureau, which builds your credit. These are recent changes to Aaron's policy since they did not report to the Credit Bureaus to help customers build credit in the past.