We give an overview of collective light scattering of trapped ion crystals serving as arrays of correlated emitters of single, indistinguishable photons into free space. The collectively emitted light is recorded in the far field by detectors, which feature high spatial and high temporal resolution. We observe interference in the first- and second-order photon correlation functions as well as bunched and antibunched photon statistics. We analyze theoretically how the observed features of collective light scattering off arrays of correlated single photon emitters result from projective quantum measurements into Dicke states.