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.

I consider e/c natural wine shop a hidden treasure in Milan. Inside a building with an "Emergency" (that is actually an ONG) plaque outside, the first thing one might think is that is a hospital. Once passing the wall, there's a cute internal square, with Basilica di Sant'Eustorgio view. You can sit both inside or outside, which a strongly recommend for spring and summer days. A nice place for just passing by to grab a bottle of wine and drink it at home, having a glass of wine (they have many options) or enjoying a relaxed evening.

Fondazione Prada is an institution dedicated to contemporary art/ culture and is located in an former industrial complex on the southern edge of Milan. The new and regenerated buildings are designed by OMA/ Rem Koolhaas. A must visit is Bar Luce designed by Wes Anderson.

Modern coffee shop, offering artisan coffee and pastries.

Rotating modern art exhibitions in a complex of. beautifully design/renovated buildings, designed by Rem Koolhaas. Also has a great cafe and restaurant.