Ok everyone knows EU student museum discounts but theres way more if you ask. Show student ID at restaurants near università areas like Sant'Ambrogio market get 10% off especially lunch spots where professors and students eat just ask nicely works at Il Giova and other neighborhood places

Cinema La Compagnia near Santa Croce student tickets €5 instead €8 they show original language films perfect for international students studying in Florence. Some bookshops near Piazza San Lorenzo give discounts on travel guides maps too especially if buying multiple items

Best discovery Trenitalia train tickets have youth discounts until 27 not just student status saved €15 on Rome trips from Firenze SMN every euro counts when living on pasta and instant coffee. Youth hostels obviously but HI card gets discounts tons places around Santo Spirito and San Frediano neighborhoods