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.
Cozy ambient inside, but also with tables on the street, Champagne Socialist is a good place to try natural wines from Europe. You can also go there just to buy a bootle (or more, of course) and drink it at home.