In this work, we demonstrate single-shot, simultaneous recording and subsequent retrieval of one incoherent and two holographic (intensity and phase) images from the same camera frame. Demultiplexing of incoherent and holographic signals in the spatial frequency domain is made possible by carrier frequency modulation and spatial oversampling intrinsic to the off-axis digital holographic configuration. In particular, we show applications to combined fluorescence and digital holographic microscopy, as well as combined bright field and holographic second harmonic generation microscopy.