Gillette Castle State Park in East Haddam is home to a quirky stone mansion built by actor William Gillette, who was famous for playing Sherlock Holmes on stage. The medieval-style castle perches on a hilltop high above the Connecticut River and looks like something from a storybook. Inside, visitors can see the unusual interior, including handcrafted wooden fixtures and puzzle-like latches designed by Gillette himself. The grounds have trails, picnic areas and views across the river valley, and the mix of odd architecture and scenery makes it one of Connecticut's most memorable attractions. Castle admission is $6 for adults. Plan to spend a couple of hours exploring both the castle and the trails.