Acme Fresh Market Weekly Ad (5/9/24 – 5/15/24) Preview 2 Ads Available. Acme Fresh Market Ad 05/02/24 – 05/08/24 Click and scroll down. Acme Fresh Market Ad 05/09/24 – 05/15/24 Click and scroll down. More Weekly Ads Get The Early Ad Sent To Your Email (CLICK HERE) !