Kepler observed ~32,000 red-giant stars. Red giants exhibit non-radial oscillation modes that carry information about the entire stellar structure, from core to envelope. Hence, characterising these modes is of utmost importance as these provide the most direct way to probe the internal structure of stars. Here, for the first time, we present a homogeneous catalogue of these ~32,000 red giants with global asteroseismic parameters and their solar-like oscillation properties (i.e., frequencies, linewidths, amplitudes, and mode identification) extracted with TACO (Tools for the Automated Characterisation of Oscillations). In addition to contributing to our knowledge of stellar evolution theory, the extended asteroseismic data set will allow us to estimate stellar parameters — mass, radius, evolutionary stage, and age — relevant to other fields like exoplanets and Galactic archaeology.