Conn. Gen. Stat. § 14-166: Exempted vehicles.

(a) The acquisition of a certificate of title shall not be required and the issuance of a certificate of title by the Commissioner of Motor Vehicles shall not be required for the following: (1) A vehicle owned by the United States, unless it is registered in this state; (2) a vehicle owned by a manufacturer or dealer and held for sale, even though incidentally moved on the highway or used for purposes of testing or demonstration; or a vehicle used by a manufacturer solely for testing; (3) a vehicle owned by a nonresident of this state and not required by law to be registered in this state; (4) a vehicle regularly engaged in the interstate transportation of persons or property for which a currently effective certificate of title has been issued in another state; (5) a vehicle moved solely by animal power; (6) an implement of husbandry; (7) special mobile equipment; (8) a self-propelled wheel chair or invalid tricycle; (9) any trailer having a gross weight not in excess of three thousand pounds; (10) any vehicle for which a temporary registration has been issued pursuant to section 14-12 for the purpose of permitting a nonresident owner who purchases a vehicle in Connecticut to transport such vehicle to such owner's home state; (11) a motor vehicle owned by the state or any town, city or borough within the state; (12) a motor vehicle registered temporarily for inspection purposes pursuant to section 14-12.

(b) The acquisition of a certificate of title for any motor vehicle older than twenty model years old shall not be required. The commissioner shall issue a certificate of title for a motor vehicle older than twenty model years old at the request of the owner and charge such owner any fees required by section 14-192.

(c) Part III of this chapter does not apply to: (1) A vehicle moved solely by animal power; (2) an implement of husbandry; (3) special mobile equipment; (4) a self-propelled wheel chair or invalid tricycle; (5) any trailer having a gross weight not in excess of three thousand pounds.