Tiny traditional restaurant with no reservations. Delicious traditional Milanese food, all cooked in their tiny kitchen. Always a queue so arrive early!
Art and design museum in the Parco Sempione. Some permanent and some rotating exhibitions. Definitely visit the Casa Lana installation and the Italian Design permanent exhibit.
Achille Castiglioni (1918-2002), architect and furniture designer, left an enormous amount of inventions and designs, carefully kept by his family in his studio museum in Piazza Castello. Castiglioni's studio museum can be visited on appointment throughout the year.