I decided to try and overcome my fear by diving in a shark tank at the Epcot center of Disneyworld. Very cool experience. But let's be realistic, I was diving with Disney. They let us know, before we dove, that the sharks were very well fed and that they were Disney sharks so, of course, they were friendly and would not attack. I chose to believe this bit of humor and did the dive. Honestly, this was a lot of fun. I may have had a false sense of calm thinking that the Disney dive-masters would not put us in a situation where all of the cherub-faced kids pressing their noses to the tank from the glass would end up with a horror photo of me becoming lunch. The dive itself was amazing! I highly suggest this adventure for a family activity. First, they give you a quick briefing with your small group (they only take a few divers per day). Then, you enter the water and swim around with the sharks and other sea life while waving at the kids gathered around the glass. This might be one of the more expensive activities in Florida, but if you are a diver, this is worth every penny.
For those looking to be in the actual ocean, there are a few diving companies that cater specifically to shark-cage dives. One such tour is the Shark Diver in California and Mexico. Now, this is the real deal. Out in the ocean and no pre-feeding of the sharks to make sure that the sharks are so full you do not look appetizing to them. I love the fact that they are shark conservationist and do not just do shark dives. They claim you can see up-close Great Whites or Tiger Sharks if that is what you are looking for. For me, I will stick with Disney for a while.
Check out Epcot shark dive for a chance to dive with Disney.
or
http://www.sharkdiver.com/ for a chance at the real deal.