Relation of temperature and intensive property
After looking at the list in the Wikipedia article linked in the comment by M.Farooq, I suspect there are few properties that are guaranteed to be independent of temperature, an exception being molality and mole fraction in a closed system and absence of reactions. Other concentrations that are functions of volume are bound to be functions of temperature. Even in the presence of reactions, the atomic mole fraction is bound to be a constant (absent nuclear reactions, that is).

Standard molar quantities and some other properties are defined at fixed temperatures and are therefore strictly temperature independent, but that makes for a circular argument, and presumably this is not the type of property the question is about.