Low-temperature physics and astronomy have traditionally focused on developing exquisitely sensitive single-pixel detectors. While this has yielded considerable results, these technologies almost uniformly suffer from an inability to scale to large array sizes. In order to circumvent this barrier, frequency-multiplexing techniques have recently emerged as a suitable solution. Here we present a detailed description of a measurement platform based on frequency-multiplexed superconducting resonators along with the results from two distinct measurements that leverage this nascent technology to achieve multipledevice readout. The first application discussed is a seven-pixel array sensor of the permittivity of liquid helium suitable for quantum hydrodynamic experiments. The second implementation described is a prototype 16-channel mm-wavelength detector optimized for ground-based astronomical detection at the 30 meter Institute for Millimeter-Wave Radio Astronomy (IRAM) telescope in Pico Veleta, Spain.