I am looking for the best non Amex (Visa / Master Card) reward card.

We currently both have the Continental Chase card and it works fine, but I do not need the CO miles. Currently I have a huge amount of CO miles and AMEX points.

Now looking for a Visa / MC that has cash back or good rewards.

Interest rate is not an issue since the bill should be paid in full each month.

Any help would be great.