Slice the ripe banana and loosely break the frozen acai puree packets into a few chunks so they blend more easily.
Add the apple juice, plain yogurt, honey, sliced banana, frozen acai puree pieces, and frozen mixed berries to a blender in that order.
Blend on low speed to start breaking up the frozen fruit, then increase to high and blend until mostly smooth, 30โ45 seconds.
Add the ice cubes and blend again on high until completely smooth and thick, 30โ60 seconds more, stopping to scrape down the sides if needed. The smoothie should be thick but pourable; if it is too thick, blend in a little more apple juice a splash at a time.
Taste and adjust sweetness with a little more honey if desired, blending briefly to combine.
Pour the acai berry smoothie into two chilled glasses and serve immediately while very cold and thick.