The Citadel is the main reason to visit Besancon, but we also spent time visiting St John's Cathedral and The Museum of Fine Arts and Archaeology.
St John's Cathedral is located right below the Citadel in the old city. We parked on a steep stone street and just basically pulled up on the sidewalk. Al stayed with the car because we couldn't figure out how else to park, the street was barely wide enough for one car let alone one and a parked car. The stop was well worth it just to see Fra Bartholomeo's beautiful Virgin and the Saints. We wanted to see the Astrological clock but we couldn't find it. It is quite famous.
To visit the museum, we finally found an underground parking garage. You are not allowed to carry any bags in this museum so I had to check my purse which I always hate but I kept my pad and pen to take notes. There are some fine Renaissance paintings here as well as Fragonard, Boucher and Courbet. There were hordes of school children sitting on the floor in the Impressionist area, so we couldn't even walk there. I liked their Cranach, of course. I also spent quite a while in the Greek and Roman sections, and I managed to take one photo of a mosaic. They have only postcards in their store and a couple of books, all in French. The building itself is very modern-looking, though it dates from 1843.
In Dijon, we visited St Michel Church which has a remarkable Renaissance Front, it looks totally out of place in Dijon except it has the usual Burgundian triple entrances. It is obviously a favorite meeting spot because there were lots of young people hanging around the front and sitting on every available space. Inside, we spent quite a bit of time praying, actually. They have a local saint in the making Blessed Elisabeth Catez, and they have a whole area set aside to tell her story and for people to learn about her devotion to the Blessed Trinity. She died young (26), and her casket can be seen through a grill in the wall of the church.