Keep your head up and camera ready: Wandering the ancient streets you’ll find surprises around every corner, such as the Ruelle des Chats (Cats’ Alley) between 30 and 32 rue Champeaux. The buildings on either side lean so close that a cat can easily jump from one roof to the other. Sit on one of the benches in front of the Carrousel des Temps Modernes (Carrousel of the Modern Age), pl. de Hôtel de Ville, to admire its remarkable animals, chariots, and hand-painted depictions of 20th-century inventions and innovators.

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