Oriel Davies Gallery

One of Wales' leading contemporary spaces and the largest visual-arts venue in Mid-Wales, Oriel Davies hosts often edgy national and international exhibitions, and offers a range of talks, courses and workshops. It has a popular sunny, glassed-in, vegetarian-friendly cafe (Relish; open 10am to 4pm). The gallery sits within a leafy riverside park, which contains a mound that's all that remains of Newtown's 13th-century castle.