The present disclosure is directed to enclosed antenna systems for receiving multiple different broadcast types. In one aspect of the disclosure, the enclosed antenna system comprises an enclosure including a satellite television antenna assembly, an off-air television antenna assembly and control electronics disposed on a motorized turntable. In another aspect, the off-air television antenna assembly comprises both UHF and VHF antenna assemblies. In a further aspect, the UHF and VHF television signals received by the off-air antenna assembly are combined, amplified and diplexed with the television signal received by the satellite television antenna assembly. A method of watching television broadcasts from satellite and off-air sources using a multi-antenna system contained within a single enclosure is also disclosed.