You can take a submersible with these guys and visit the bow, grand ballroom, and other sites at the wreckage.  Cost: $40,000 USD for about 5 days of activities and one submersible visit to the Titanic wreckage.

http://www.deepoceanexpeditions.com/titanic.html

With this company you can also visit: the Bismark, undersea volcanoes in the Azores, or other under-sea adventures.