Yep you are driving a Fiat Type!
As for some others
Barchetta - Small Boat (think most people know that one)
Tempra - Hardening
Multipla - Multiple (of 3? i.e. the 2 rows of 3 seats?)
Seicento - The 1600's
Cinquecento - The 1500's
Newly announced Sedici - Sixteen
Palio - Racing Silk
Strada - Road