When Eating in Honolulu Hawaii have a look at the local dishes, Hawaiian style food at its best. Kalua pua'a , or roasted pork, since its processed in the Hawain imu and / or underground cook oven. Kalua pig is typically cured with sea salt and infrequently green onions. Many choose the crisp skin from an entire roasted pig. Filets of delicious, flaky white meat island fish which may be deep fried.