  The representation of quantum states via phase-space functions constitutes an
intuitive technique to characterize light. However, the reconstruction of such
distributions is challenging as it demands specific types of detectors and
detailed models thereof to account for their particular properties and
imperfections. To overcome these obstacles, we derive and implement a
measurement scheme that enables a reconstruction of phase-space distributions
for arbitrary states whose functionality does not depend on the knowledge of
the detectors, thus defining the notion of detector-agnostic phase-space
distributions. Our theory presents a generalization of well-known phase-space
quasiprobability distributions, such as the Wigner function. We implement our
measurement protocol, using state-of-the-art transition-edge sensors without
performing a detector characterization. Based on our approach, we reveal the
characteristic features of heralded single- and two-photon states in phase
space and certify their nonclassicality with high statistical significance.
