The Scallop Festival runs each year in February. Rye Bay scallops are offered on the menu at most restaurants and there are demonstrations and events. See http://scallop.org.uk/ for details.
Wild Boar weeks runs from 20th to 28th October 2018 and is a celebration of game in Rye. See http://wildboar.org.uk/
Even if a Festival isn’t running you will find a great mix of restaurants, bars and pubs offering a range of dishes and local produce.