Hayward Gallery

You'll spot the Hayward's unmistakable zigzurat silhouette looming above the Thames path—it's impossible to miss and utterly brilliant. This is where London's art establishment goes to be properly challenged rather than coddled. The building itself, all raw concrete and unexpected angles, feels like walking into an artwork before you've even reached the galleries. Exhibitions rotate regularly and tend toward the provocative: you might find anything from large-scale installations to retrospectives that make you reconsider what you thought you knew about contemporary practice. The rooftop terrace offers proper respite with views across the river that make the admission price feel generous.