The limit of ice shelf viability in the Antarctic Peninsula is commonly defined by the -5°C annual mean 2 m air temperature isotherm. It is presently unknown whether this threshold can also be applied to other Antarctic ice shelves. Here we use two present-day and three future high-resolution Antarctic climate realisations to predict warming thresholds for Antarctic ice shelf viability based on the melt over accumulation (MoA) ratio. The associated warming thresholds match well with observed melt pond volumes and are found to be spatially highly variable and controlled by snow accumulation. While for relatively wet ice shelves the -5°C temperature threshold is confirmed, cold and dry ice shelves such as Amery, Ross and Filchner-Ronne are more vulnerable than previously thought, with threshold temperatures well below -15°C. CMIP6 models predict that towards the end of this century these thresholds can be reached on many ice shelves, even on cold ice shelves and under moderate warming scenarios.