Word is Santo Spirito is not a famous tourist spot, it’s more of a “locals” neighbourhood.
There are good local coffee places and wine bars, a local market, and some of the cheapest restaurants in town.
Ponte Vecchio is one of Florence’s landmarks and most photographed bridges in the city. Something important was built on top of them: the Vasari Corridor, a “secret” passageway.
La Specola Anatomical Collection
If you’re looking for a memorable experience that’s a bit more unusual but still historic, tour La Specola, the largest and most famous wax anatomical collection anywhere in the world. First opened to the public in 1775, La Specola is part of the Museum of Natural History in Florence and houses taxidermy, including now extinct specimens and a very questionable-looking hippopotamus.