ATMs in Fishers Island, New York, the US. ATMs locations in Fishers Island, New York. Find the nearest atms locations, near you. All types of business services ATM Bank Finance Real estate All atms in Fishers Island Gas (Island Service) ATM Finance Bank 49 Central Avenue, Fishers Island, New York 06390 Write a review Phone Directions Payment Alliance International, Inc. ATM Finance Montauk Ave, Fishers Island, New York 06390 Write a review Phone Website Directions