If thrills are what you're after, head to Barry Island Pleasure Park, located 1.1 mi (1.7 km) from central Barry. It's also full of great shops and restaurants, so you can spend the afternoon having a wander. If you'd also like to explore some of the parks in Barry, Porthkerry Country Park and Cosmeston Lakes Country Park are both nearby.
Why not spend a lazy afternoon at Whitmore Bay during your trip to Barry? Stroll along the lakeside or visit the churches while you're in the area.