Base station antenna include an RF port, a reflector, a linear array of radiating elements mounted to extend forwardly from the reflector, and a feed network that electrically connects the RF port to each of the radiating elements in the linear array. The radiating elements are configured to operate in a first frequency band. A first of the radiating elements is a cross-dipole radiating element that includes a feed stalk, a cross-dipole radiator that includes a first −45° polarization dipole radiator and a first +45° polarization dipole radiator mounted on the feed stalk, and an active director that includes a second −45° polarization dipole radiator and a second +45° polarization dipole radiator mounted forwardly of the cross-dipole radiator. Both the cross-dipole radiator and the active director are coupled to the feed network.