We present a catalog of extended low-surface-brightness galaxies ( LSBGs ) identified in the Wide layer of the Hyper Suprime-Cam Subaru Strategic Program ( HSC-SSP ) . Using the first { \sim } 200 deg ^ { 2 } of the survey , we have uncovered 781 LSBGs , spanning red ( g - i \geq 0.64 ) and blue ( g - i < 0.64 ) colors and a wide range of morphologies . Since we focus on extended galaxies ( r _ { \mathrm { eff } } = 2.5 - 14 \arcsec ) , our sample is likely dominated by low-redshift objects . We define LSBGs to have mean surface brightnesses \bar { \mu } _ { \mathrm { eff } } ( g ) > 24.3 mag arcsec ^ { -2 } , which allows nucleated galaxies into our sample . As a result , the central surface brightness distribution spans a wide range of \mu _ { 0 } ( g ) = 18 - 27.4 mag arcsec ^ { -2 } , with 50 % and 95 % of galaxies fainter than 24.3 and 22 mag arcsec ^ { -2 } , respectively . Furthermore , the surface brightness distribution is a strong function of color , with the red distribution being much broader and generally fainter than that of the blue LSBGs , and this trend shows a clear correlation with galaxy morphology . Red LSBGs typically have smooth light profiles that are well-characterized by single-component Sérsic functions . In contrast , blue LSBGs tend to have irregular morphologies and show evidence for ongoing star formation . We crossmatch our sample with existing optical , H i , and ultraviolet catalogs to gain insight into the physical nature of the LSBGs . We find that our sample is diverse , ranging from dwarf spheroidals and ultra-diffuse galaxies in nearby groups to gas-rich irregulars to giant LSB spirals , demonstrating the potential of the HSC-SSP to provide a truly unprecedented view of the LSBG population .