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.

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.

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

Vintage lovers! The Planetarium of Milan, Civico Planetario "Ulrico Hoepli", is a building located at the entrance of Giardini di Porta Venezia. It's a beautiful structure designed by Piero Portaluppi and commissioned by the Italian-Swiss publisher Ulrico Hoepli. Also the interior design is beautiful, there you can find a planetarium which projects and represents the image of the stars and their movements in the sky. The Planetarium also has a library which is a section of the Museum of Natural History, near by. They also organize educational activity concerning astronomy as talks, events and even concerts. 

One of my favorite historical building from Milano,