In the city centre you can spot the buildings of Piazza della Repubblica, with its Giubbe Rosse cafè and the colonnade of the olg Gambrinus (now hosting the Hard Rock Cafè). The Stibbert Museum hosting weaponry and armour collections, and the surrounding garden, are characterized by eclectic style, too.
If you want to see more, here's an itinerary that takes you to see three houses, a greenhouse in a garden and an unusual church - pack a picnic and either walk or get a day ticket for the ATAF bus. Starting from the station, go towards Viale Milton to find the colourful orthodox russian church, built 1899-1903 from plans of russian architect Michele Preobrangensky and carried out by Florentines Boccini and Paciarelli. Cross the Mugnone stream to see a not too over-the-top house on via XX Settembre and continue in the direction of Porta Rossa to the Horticulture Garden. This garden one weekend a year hosts a flower festival, every Summer becomes an open air bar and the rest of the time is populated by locals and their children. The garden's tepidarium - a glass greenhouse - was built for the first national Horticultural Exhibition in 1880 on a plan by Giacomo Roster.