Liquor stores in Cuba, New York The most complete information about Liquor stores in Cuba, New York: Addresses, phone numbers, reviews and other information. All stores Clothing Convenience Furniture Hardware Home goods Jewelry Liquor Supermarket All liquor stores in Cuba Cuba Liquors Liquor Closed now Until 09:00 am 4 Center Street, Cuba, NY 14727 Get Directions Contacts Write a review Story Block Liquor Liquor Supermarket Closed now Until 09:00 am 92 Genesee Street, Cuba, NY 14727 Get Directions Contacts Write a review ✗ Facebook Google Plus Twitter