Except for some Romanesque churches and monasteries, and a few old tenuta, there is very little Medieval left in tourist Italy.
The reason is because they became so wealthy during the Renaissance that they knocked down all of the old stuff to build new. The "old stuff" in Florence today is mostly Renaissance-era, except for some early churches. San Miniata is a good old one, and it's a fun walk over the bridge, over the Michelangelo-designed defensive walls, and up the hill from downtown, and you can sit and listen to the monks chant if you visit during a chanting time. Very friendly monks, too, who speak excellent English.
Italy never really bought into Gothic style in the 1200s. Too French. Many Brit builders did buy into it, though.
Photo: The Baptisterie in Firenze is Medieval, begun in 1059 long before the current duomo was built (by Cannobio, with the dome by the great Brunellesci in the 1400s. The fancy facade of the duomo is new - 19th C - which most visitors do not realize. The churches were always renovating and updating.) The previous church had stood in the square when the Baptisterie was built. A Baptisterie was always needed then: unbaptised kids could not enter the duomo. As in many areas of northern Italy, the Eastern Orthodox style of art (thought, at the time, to be based on original images of Jesus, Mary, etc) is prominent inside this wonderful jewel-box. The doors are masterpieces, as is the ceiling art inside. The Baptisterie in Pisa, just down the road a piece, is similarly wonderful.
