The best replacement for shaved ice is snow cone.

The best alternatives to shaved ice are rated as following:
★★★★★  snow cone
★★★  italian ice
★★  shaved ice
★  snow cones
★  crushed ice
★  water ice
★  snowball
★  shave ice
  shaved snow

Your alternative for shaved ice is not listed? Suggest!
Speaking about shaved ice, one probably shouldn't forget about aduki beans.

Other search terms related to shaved ice and their ratings are:
★★★★★ aduki beans
You have in mind a companion for shaved ice and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of shaved ice in all years. Click on graph for more.
shaved ice
snow cone
italian ice