Any licence which isn't a CDL licence. However, there's a certain context you're looking for, so let me explain it in that context:
Commercial vehicles are regulated by the Federal Motor Carrier Safety Administration. However, there are vehicles which are exempt from federal motor carrier regulations. These include:
States maintain jurisdiction over licencing requirements of these vehicles (except for military vehicles), and set their own regulations for what the licencing requirements are. Special classes of drivers licences may exist for them, or the state may offer non-CDL equivalents to the Class A and Class B CDL.