The common name is slushie or slushy ; if you mean the brand-style term, people also say Slurpee or ICEE. A smoothie itself is usually just called a smoothie , even when it includes ice or crushed ice.

Quick distinction

  • Smoothie : blended drink made with fruit, yogurt, milk, juice, or ice.
  • Slushie/slushy : flavored ice drink with a slushy texture.
  • Slurpee / ICEE : brand names often used generically for that kind of frozen drink.

Plain answer

If you’re asking what ice becomes after blending into a drink, the closest everyday word is slush or slushy. If you mean a fruit-and-ice blended drink, most people just call it a smoothie.