Seaworld is our favorite non-Disney attraction. Also, you don't say who is in your group, but with older kids and adults, there is Kennedy Space Center. And, I don't know where you are from, but if you haven't been to the gulf coast beaches, they are very nice. We also love the Crystal River area north of Orlando and have been swimming with Manatees, which was very cool.
Really though, in the week you are there, you could stay totally busy on property.