New York: highway use tax (HUT)
Trucks over 18,000 pounds gross weight running New York highways need a HUT certificate and decal, plus periodic returns. See the New York fee, threshold, citation, and official filing link.
Kentucky: weight distance tax (KYU)
Vehicles at 60,000 pounds or more running Kentucky need a KYU number and quarterly mileage returns. See the Kentucky fee, threshold, citation, and official filing link.
New Mexico: weight distance tax
Vehicles over 26,000 pounds running New Mexico need a weight distance permit and quarterly returns. See the New Mexico fee, threshold, citation, and official filing link.
Oregon: weight-mile tax
Vehicles over 26,000 pounds running Oregon pay weight-mile tax; Oregon is not an IFTA fuel-tax state for these vehicles. See the Oregon fee, threshold, citation, and official filing link.