Milan

The Duomo of Milan is the third-largest church in the world.

The Archi di Porta Nuova: a medieval gate at the end of the via Manzoni (one of the city's most expensive shopping streets), incorporating several Roman funerary stelae and inscriptions.

Sant' Ambrogio is one of the oldest and most interesting churches in Europe: an imperial chapel splendiferous with 4c mosaics; a number of fascinating inscriptions including a famous one recording the career of Pliny the Younger; the sarcophagus of Stilicho; in a glass case in the crypt, the bodies of SS. Gervase and Protase, and of St. Ambrose who found them — and then the frescoes, the sculpted capitals, the bronzes. . . .
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San Lorenzo is another church with Late Antique imperial associations, Roman period frescoes and ancient sarcophagi; its forecourt preserves a Roman temple colonnade.

Sant' Eustorgio yet another church of hoary antiquity. I didn't like it very much, but there's stuff in it, alright.

The Galleria Vittorio Emanuele II is your quintessential 19c public edifice. It's not a church, a government building, a fortress or a palace. It's a shopping mall, erected to the glory of bourgeois comfort. A nice one, too.

The Castello Sforzesco is to my mind a disagreeable place; but it's huge and thoroughly medieval, and just one very small section of it houses four  interesting museums.

The Cà Grande: a medieval hospital built around a very large cloister. This intellectual-looking scansion of columns now appropriately houses part of the University.

Lesser churches: S. Antonio • S. Babila • S. Fedele • S. Francesco di Paola • S. Gottardo • S. Maria della Vittoria • S. Nazaro • S. Stefano and S. Bernardino alle Ossa • S. Vito

And we can surely not forget the Roman amphitheatre.