We discuss a new versatile setup for goniometric measurements of spectral radiances with two modes of operation: (1) it can operate as a 2-D goniometer for measurements in a horizontal plane of the singly scattered radiance from particles in suspension and (2) it can be used as a 3-D goniometer for measuring spectral radiances over an entire hemisphere. In our setup, various kinds of light sources and detectors can easily be inserted. Among the detectors, a spectral imager is designed and used. Proper hardware and software is chosen so as to make our setup fully automated and easy to operate. We present results from two different investigations to demonstrate the utilization of our setup. The first investigation is concerned with measurements of the volume scattering function (VSF) over a large forward and backward angular range. Our experimental results for the VSF show good agreement with theoretical simulations. We also use our setup to obtain a series of 1-D angular spectral images of the skin on the dorsal side of a human hand in vivo by employing various illumination angles. Our setup provides a robust, highly automated, and flexible framework for carrying out goniometric measurements in a variety of applications.