Aims. As a new approach to the study of resolved stellar populations in nearby galaxies, our goal is to demonstrate with a pilot study in NGC 300 that integral field spectroscopy with high spatial resolution and excellent seeing conditions reaches an unprecedented depth in severely crowded fields. Methods. MUSE observations with seven pointings in NGC 300 have resulted in datacubes that are analyzed in four ways: (1) PSF-fitting 3D spectroscopy with PampelMUSE, as already successfully pioneered in globular clusters, yields deblended spectra of individually distinguishable stars, thus providing a complete inventory of blue/red supergiants, and AGB stars of type M and C. The technique is also applicable to emission line point sources and provides samples of planetary nebulae that are complete down to m 5007 =28.(2) pseudo-monochromatic images, created at the wavelengths of the most important emission lines and corrected for continuum light by using the P3D visualization tool, provide maps of H ii regions, supernova remnants, and the diffuse interstellar medium at a high level of sensitivity, where also faint point sources stand out and allow for the discovery of planetary nebulae, WR stars etc. (3) The use of the P3D line-fitting tool yields emission line fluxes, surface brightness, and kinematic information for gaseous objects, corrected for absorption line profiles of the underlying stellar population in the case of Hα. (4) Visual inspection of the datacubes by browsing through the row-stacked-spectra image in P3D is demonstrated to be efficient for data mining and the discovery of background galaxies and unusual objects. Results. We present a catalogue of luminous stars, rare stars such as WR and other emission line stars, carbon stars, symbiotic star candidates, planetary nebulae, H ii regions, supernova remnants, giant shells, peculiar diffuse and filamentary emission line objects, and background galaxies, along with their spectra. Conclusions. The technique of crowded-field 3D spectroscopy, using the PampelMUSE code, is capable of deblending individual bright stars, the unresolved background of faint stars, gaseous nebulae, and the diffuse component of the interstellar medium, resulting in unprecedented legacy value for observations of nearby galaxies with MUSE.