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.

Best designer clothing store in Milan (in my humble opinion!).

Loste Café is a Danish bakery opened by Stefano Ferraro and Lorenzo Cioli, two Italians who met at the star restaurant Noma, in Copenhagen. It's a simple (but with a good taste!) coffee shop, with amazing cinnamon rolls - Lorenzo is the former head of pastry in Noma - and a good option for a healthy quick lunch.

Taglio is a cafe, restaurant and shop in the Navigli area. Everything you see on display is for sale. Taglio is using fresh and high-quality products for its delicious dishes. When possible, the ingredients are also locally sourced. 

Cute cafe designed by Wes Anderson at the Prada Foundation. The interior is in the style of a Milanese bar from the 1950s/60s and has a good selection of sandwiches, coffee and alcoholic drinks.