Coyote Ugly off of Broadway by a block or 2, great place for adults, they might allow kids up to a certain time. Times Square is a great place now. Its very touristy, almost Vegas like, minus the gambling. Brooklyn Diner, great place to eat, can say you've been there. Tavern on the Green maybe?
For the real feel of New York, you can hit up Queens, Harlem, or the Bronx. The meat packing district is always good for a freak show.