While Yang-Mills theory with a fundamental mass-term (as opposed to a dynamical mass via a Higgs mechanism) cannot be both renormalizable and unitary (Delbourgo-Twisk-Thompson 88), it does appear in certain effective field theories, notably in quantum hadrodynamics.
Robert Delbourgo, S. Twisk, George Thompson, Massive Yang-Mills theory: Renormalizability versus unitarity, Int. J. Mod. Phys. A 3 (1988) 435 (doi:10.1142/S0217751X88000163)
U. Ellwanger, N. Wschebor, Massive Yang-Mills Theory in Abelian Gauges, Int. J. Mod. Phys. A18 (2003) 1595-1612 (arXiv:hep-th/0205057)
Equivalence between hidden local symmetry- and massive Yang-Mills theory-description of Skyrmion quantum hadrodynamics:
More on relation to Skyrmions:
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