I'll be going to Milan end of June. Unfortunately, I only have 2 days to explore the city. Any ideas on which tourist places I should visit? I'll be arriving June 25 afternoon and leaving June 27 afternoon to Paris. Quite a short stay
I also would like to do some shopping, but not sure where I should go. Any thoughts?
Really appreciate it. Thanks

I supose that you had some reasons when you decided to visit Milan for 1 1/2 days, so probably you know what you want to see.
Your question is too general and you do not tell what is interesting for you, so, I am sorry, but can not help.

Why did you choose to go to Milan? My understanding of the city is that most tourist just go to see the Duomo and The Last Supper (you can make reservations for this) but that wouldnt take up 2 days. I would add these two days to Venice and skip Milan. So much more to see in Venice.

If you are interested in paintings, there are many excellent museums in Milan for couple days.

HenryW:
Besides the Duomo and Last Supper (again, you need reservations), we really enjoyed the Pinacoteca Brera Museum which focuses on Italian artists and is also in a really cute section of the city with good restaurants. Makes a nice excursion if you want to fill an afternoon. Most tourists also take a walk through the shopping sections. (Very 5th Avneue if you've been to NY). Not my seen, but quite impressive if you're a shopper of high end goods.