We have measured the microwave surface resistance of sputtered EuBa2Cu3O7-x superconducting films on MgO in a gold-plated Invar host cavity at 50 GHz. Low surface resistance of 2 m-OMEGA was achieved even at 77 K and 50 GHz for highly c-axis oriented films with good in-plane epitaxy together with a T(c) of 93 K and a J(c) of 1.4 X 10(6) A/cm2 at 90 K. This surface resistance value is slightly lower than that for a classical superconductor of Nb at the same frequency at the same reduced temperature (T/T(c)) of 7.7 K.