Try the "Chink in the Armour" -- a gin based cocktail with Lillet and bitters. Delicious. You can find the recipe in the book "Speakeasy Cocktails" created for iPads. http://bit.ly/foursq_cocktails
Known for their Pimm's Cup. Give it a try. British Gin based liquor and lemonade, splash of lemon-lime soda and a cucumber garnishes. It's refreshing. Read more.
The Dante (gin, simple syrup, fresh pineapple and ginger) is delicious. I may have a new favorite drink...
Make sure to stop in the swanky Sazerac Bar and order a Ramos Gin Fizz. You'll be taken back to a different era.