Base station antennas are provided that include a first array of radiating elements that is configured to form a first antenna beam that has a first downtilt angle in response to a first RF signal that is input at the first RF port and a second array of radiating elements that is configured to form a second antenna beam that has a second downtilt angle in response to a second RF signal that is input at the second RF port. The second downtilt angle is less than the first downtilt angle. The first antenna beam is configured to only provide coverage to users within a first portion of a coverage area of the base station antenna that is close to the base station antenna and the second antenna beam is configured to provide coverage to users within a second portion of the coverage area that extends farther from the base station antenna than does the first portion.