One of my favorite historical building from Milano, 

Iconic pasticceria (owned by LVMH) serving beautifully crafted pastries and coffee since 1817. Don't skip on the pistachio croissant!

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.

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

Modern design space and gallery, home of Capsule magazine. Store and coffee shop next door.