Dataset contains raw output from historical All-Hist simulations produced with NorESM1-HAPPI (Iversen et al. 2017) for the half a degree additional warming, prognosis and projected impacts (HAPPI) project (Mitchell et al. 2017, http://www.happimip.org). Members 001-125 cover the “present decade” period 2006-2016. From mid-2016, SST boundary conditions are repeated from year 2015. Members 101-125 contain extra high-frequent output for dynamical downscaling. Members 126-135 cover the longer historical period 1959-2016. Their output is intended for calibration purpose. No volcanic forcing is used during the historical period. References: Mitchell, D., AchutaRao, K., Allen, M., Bethke, I., Beyerle, U., Ciavarella, A., Forster, P. M., Fuglestvedt, J., Gillett, N., Haustein, K., Ingram, W., Iversen, T., Kharin, V., Klingaman, N., Massey, N., Fischer, E., Schleussner, C.-F., Scinocca, J., Seland, Ø., Shiogama, H., Shuckburgh, E., Sparrow, S., Stone, D., Uhe, P., Wallom, D., Wehner, M., and Zaaboul, R.: Half a degree additional warming, prognosis and projected impacts (HAPPI): background and experimental design, Geosci. Model Dev., 10, 571-583, https://doi.org/10.5194/gmd-10-571-2017, 2017. Iversen, T., Bethke, I., Debernard, J. B., Graff, L. S., Seland, Ø., Bentsen, M., Kirkevåg, A., Li, C., and Olivié, D. J. L.: The NorESM1-Happi used for evaluating differences between a global warming of 1.5°C and 2°C, and the role of Arctic Amplification, Earth Syst. Dynam. Discuss., https://doi.org/10.5194/esd-2017-115, in review, 2017.