Pour prepared drink mix into an ice cube tray. Freeze until firm.
Place bananas in a freezer container. Freeze until firm.
In a blender container, combine about half of the frozen drink mix cubes, the frozen bananas, yogurt, and honey. Cover and blend until smooth, gradually adding the remaining cubes and stopping to push into the blender's blades, as necessary. Makes four (8-ounce) servings.