The new and distinct hybrid of Heuchera plant named ‘;Peachberry Ice’; with large foliage having rounded apices and lobes, leaf blades begin the season reddish-peach colored and develop to orangish-red with silverish overlay between the veins. Leaf blades are shallowly dissected with tiny sharp tips and ruffled margin. Flowers are on stiff, upright, wine-colored branched panicles just above foliage and give a pale pink effect from calyces. The new plant is vigorous and produces large broadly-mounded clumps.