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We present a catalogue of 507 cataclysmic variables (CVs) observed in SDSS I to IV including 70 new classifications collated from multiple archival data sets. This represents the largest sample of CVs with high-quality and homogeneous optical spectroscopy. We have used this sample to derive unbiased space densities and period distributions for the major sub-types of CVs. We also report on some peculiar CVs, period bouncers and also CVs exhibiting large changes in accretion rates. We report 70 new CVs, 59 new periods, 178 unpublished spectra, and 262 new or updated classifications. From the SDSS spectroscopy, we also identified 18 systems incorrectly identified as CVs in the literature. We discuss the observed properties of 13 peculiar CVS, and we identify 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 entire CV population. The SDSS I to IV sample includes 14 period bounce CVs or candidates. We discuss the variability of CVs across the Hertzsprung–Russell diagram, 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 the Supplementary Data will be useful for a range of observational population studies of CVs. [ABSTRACT FROM AUTHOR]

This document is a correction to an article titled "A catalogue of cataclysmic variables from 20 yr of the Sloan Digital Sky Survey with new classifications, periods, trends, and oddities" published in the Monthly Notices of the Royal Astronomical Society. The correction states that there were incorrect classifications of two cataclysmic variables (CVs) in Table 1 of the supplementary data. The CVs SDSSJ005217.22+315938.5 and SDSSJ162608.15+332827.7 were misclassified as a Polar and an AM CVn, respectively, when they should have been classified as an SU UMa and a Polar. The errors do not impact the analysis or conclusions of the article, and the supplementary material and machine-readable version are being updated to reflect the correction. [Extracted from the article]