Shave Ice Block Ice (Oahu only): For local customers that wish to find a quality ice house that serves most of the best shave ice stores on the island, please visit Honolulu Ice Company at www.honoluluicecompany.com. Hon Ice is a specialty ice company that only makes solid block ice for shave ice, not cube ice or compressed ice. They have good prices and provide excellent customer service. Hon Ice is the ice company we would recommend for ice!