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.

Charming place where to find books, wine, music, exhibitions and talks. My favourite bit is the lovely little backyard.

An icon of 1930s art deco in the heart of Milan. Villa Necchi was built by Pietro Portaluppi for the Necchi Campiglio family, which belonged to the Lombard industrial bourgeoisie. 

Small home/gallery space featuring various works from the Memphis movement.

Tiny traditional restaurant with no reservations. Delicious traditional Milanese food, all cooked in their tiny kitchen. Always a queue so arrive early!