Big Y 1060 W Main St, Branford, CT06405 Big Y is a regional supermarket chain. This location offers a range of departments, services and products, including…More deli, produce, bakery, floral, butcher shop and seafood. Some features include lottery tickets, gift cards, Western Union, Six Flags Tickets, knife sharpening and specialty cakes. Additional features include a Coinstar machine, postage stamps and custom arrangements. Check the main website for store services or for details on coupons or promotions.