In the Studios you have Sci Fi and 50's Prime Time which are both fun restaurants.
You can head over to the Boardwalk and hit Yachtsman Steak House, Shula's, Flying Fish (depending on when your trip is). There are really good restaurants near the Studios that you will enjoy!
This is what we usually do when we go to DHS too. Quick trip on the boat.We are partial to Cape May Cafe at the Beach Club. You can take the boat there.
Shula's isn't on the dining plan. I would have recommended some places at the Swan/Dolphin if they were. I was always a big Flying Fish fan, but it's being "reimagined" and I don't know what it will be when they are finished.