The Brooklyn Bridge
Brooklyn Heights Promenade
Brooklyn Historical Society
Coney Island
New York Aquarium
Transit Museum
Brooklyn Museum
DUMBO Arts Center
Jacques Torres Chocolate
The Brooklyn Academy of Music (BAM)

Hi,The NY Botanic Gardens is in the Bronx.Brooklyn Botanic Gardens is also LOVELY. Particularly at this time of year, when there are so many flowering trees there. I really love the Brooklyn Botanic Gardens.It's really worth a visit! Statue of Liberty, visiting the Statue is free, but you must take the ferry to get there.

Spend some time walking around Brooklyn Heights, beautiful brownstones, tree lined streets, restaurants, and some small shops. Yake a stroll down Grace Court Alley, located off Hicks Street, used to be horse stables/carriage houses - it has now been converted to residences.

By november the SoL will be closed. Check out NY Waterways to see what boats they will have running that time of year - perhaps some from the Brooklyn waterfront.

There are interesting Mideastern stores and restaurants on Atlantic Ave between Court and Henry Streets

There is wonderful residential architecture in Brooklyn Heights, Carroll Gardens, and DUMBO.

BTW, DUMBO is a real estate invention meaning Down Under the Manhattan Bridge Overpass

Check on Time Out:NY for a listing of the art galleries and the ever growing list of reatuarants in Brooklyn. Some of out favorites are Vinegar Hill House and the Brooklyn Ice Cream Factory. Bu there are many which sound wonderful but have not gotten a chance to go there.

Many will recommend Grimaldi's which is very good but in IMHP, not worth the wait.

You may not be interested in a tour, but I really enjoyed this company's tour -
http://www.asliceofbrooklyn.com/

They've added a couple of new tours too. The tour starts in Manhattan (Union Square area) but you could probably make arrangements to meet up with them at the base of the bridge before they go to Grimaldi's. The guide/owner is GREAT and I especially enjoyed the mix of excerpts from movies showing on the monitors as we drove the path/route - example The French Connection. A tour that's very well done.

If you are here the 1st Sunday in Nov, watch the NYC Marathon along the Brooklyn part of the course. Enjoy wandering IKEA and Fairway in Red Hook.

See what the people you are visiting suggest.