Lyon's Musée d'Art Contemporain, usually shortened to macLYON, sits by the Cité Internationale and Parc de la Tête d'Or rather than in the old tourist core. Its strength is temporary exhibitions, often large-scale and experimental, so the museum changes character more than a collection-based institution.
Check what is on before going; the right show makes it a strong addition to Lyon's art circuit, while the wrong one may not be worth a special trip. The location pairs well with the park, making it easy to mix contemporary art with a walk around the lake and gardens.