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We present a catalogue of 507 cataclysmic variables (CVs) observed in SDSS Ito IV including 70 new classifications collated from multiple archival datasets. This represents the largest sample of CVs with high-quality andhomogeneous optical spectroscopy. We have used this sample to derive unbiasedspace densities and period distributions for the major sub-types of CVs. Wealso report on some peculiar CVs, period bouncers and also CVs exhibiting largechanges in accretion rates. We report 70 new CVs, 59 new periods, 178unpublished spectra and 262 new or updated classifications. From the SDSSspectroscopy, we also identified 18 systems incorrectly identified as CVs inthe literature. We discuss the observed properties of 13 peculiar CVS, and weidentify a small set of eight CVs that defy the standard classification scheme.We use this sample to investigate the distribution of different CV sub-types,and we estimate their individual space densities, as well as that of the entireCV population. The SDSS I to IV sample includes 14 period bounce CVs orcandidates. We discuss the variability of CVs across the Hertzsprung-Russelldiagram, highlighting selection biases of variability-based CV detection.Finally, we searched for, and found eight tertiary companions to the SDSS CVs.We anticipate that this catalogue and the extensive material included in theSupplementary Data will be useful for a range of observational populationstudies of CVs.

A catalogue of cataclysmic variables from 20 years of the Sloan Digital Sky Survey with new classifications, periods, trends and oddities