Results from global simulations using a nonhydrostatic icosahedral‐grid AGCM with cloud‐resolving resolutions on an aqua planet are discussed. Results depend on the resolution. Simulations with grid intervals of 7 km and 3.5 km include many realistic features in the tropics: hierarchical cloud structures, a Madden‐Julian Oscillation (MJO)‐like intraseasonal oscillation, and diurnal precipitation cycles. Global cloud‐resolving simulations show promise for future climate research. Such models avoid the liabilities associated with cumulus parameterization.