The IRAS Revised Bright Galaxy Sample (RBGS) is a complete flux-limited survey of all extragalactic objects with total 60 μm flux density greater than 5.24 Jy, covering the entire sky surveyed by IRAS at Galactic latitude |b| > 5°. The RBGS includes 629 objects, with a median redshift of 0.0082 and a maximum redshift of 0.0876. It replaces the previous IRAS Bright Galaxy Samples (BGS1 + BGS2), which were compiled before the final calibration of the IRAS Level 1 Archive. The RBGS uses more accurate and consistent automated methods to measure the flux of objects with extended emission. It contains 39 objects not present in BGS1 + BGS2 and 28 objects from BGS1 + BGS2 that have been dropped due to revised 60 μm flux densities below the threshold. Revised flux measurements show most differences are within 5-25%, though some faint sources differ by a factor of 2. Basic properties of RBGS sources are summarized, including infrared luminosities and cross-identifications with optical galaxy catalogs. An atlas of images from the Digitized Sky Survey with overlays of IRAS position uncertainty ellipses is provided. The revised bolometric infrared luminosity function for infrared bright galaxies in the local Universe is best fit by a double power law, with α = -0.6 and α = -2.2 below and above the characteristic infrared luminosity L_ir* ~ 10^10.5 L_⊙. A companion paper provides IRAS High Resolution (HIRES) processing of over 100 RBGS sources. The RBGS is the best source for studying infrared emission processes in galaxies and for comparison with extragalactic observations at other wavelengths. The RBGS includes 629 infrared sources with revised flux densities in all four IRAS bands. The sample selection and data processing involved using the IRAS Faint Source Catalog (FSC) and IRAS Point Source Catalog (PSC) as starting points, with a lower 60 μm point source threshold of 4.5 Jy. The RBGS uses SCANPI to compute total fluxes in each of the four IRAS bands. The RBGS data includes flux densities, source size information, and derived infrared luminosities. The RBGS data is summarized in Table 1, which includes common names, IRAS names, coordinates, flux densities, luminosities, and other information. The RBGS data is compared with previous BGS1 + BGS2 data, showing that most flux differences are within 5-25%, though some faint sources differ by a factor of 2. The RBGS data is also compared with other sources, showing that the revised flux densities are more accurate. The RBGSThe IRAS Revised Bright Galaxy Sample (RBGS) is a complete flux-limited survey of all extragalactic objects with total 60 μm flux density greater than 5.24 Jy, covering the entire sky surveyed by IRAS at Galactic latitude |b| > 5°. The RBGS includes 629 objects, with a median redshift of 0.0082 and a maximum redshift of 0.0876. It replaces the previous IRAS Bright Galaxy Samples (BGS1 + BGS2), which were compiled before the final calibration of the IRAS Level 1 Archive. The RBGS uses more accurate and consistent automated methods to measure the flux of objects with extended emission. It contains 39 objects not present in BGS1 + BGS2 and 28 objects from BGS1 + BGS2 that have been dropped due to revised 60 μm flux densities below the threshold. Revised flux measurements show most differences are within 5-25%, though some faint sources differ by a factor of 2. Basic properties of RBGS sources are summarized, including infrared luminosities and cross-identifications with optical galaxy catalogs. An atlas of images from the Digitized Sky Survey with overlays of IRAS position uncertainty ellipses is provided. The revised bolometric infrared luminosity function for infrared bright galaxies in the local Universe is best fit by a double power law, with α = -0.6 and α = -2.2 below and above the characteristic infrared luminosity L_ir* ~ 10^10.5 L_⊙. A companion paper provides IRAS High Resolution (HIRES) processing of over 100 RBGS sources. The RBGS is the best source for studying infrared emission processes in galaxies and for comparison with extragalactic observations at other wavelengths. The RBGS includes 629 infrared sources with revised flux densities in all four IRAS bands. The sample selection and data processing involved using the IRAS Faint Source Catalog (FSC) and IRAS Point Source Catalog (PSC) as starting points, with a lower 60 μm point source threshold of 4.5 Jy. The RBGS uses SCANPI to compute total fluxes in each of the four IRAS bands. The RBGS data includes flux densities, source size information, and derived infrared luminosities. The RBGS data is summarized in Table 1, which includes common names, IRAS names, coordinates, flux densities, luminosities, and other information. The RBGS data is compared with previous BGS1 + BGS2 data, showing that most flux differences are within 5-25%, though some faint sources differ by a factor of 2. The RBGS data is also compared with other sources, showing that the revised flux densities are more accurate. The RBGS