There are few key health benefits associated with pomegranates: Stable Blood Sugar Levels, Heart Disease Prevention and Cancer Therapy. With a list like that, its easy to see why more people are taking note of this fruit that Greek mythology and current culture continue to place a good bit of importance with. In fact, some Greek friends brought me a silver pomegranate when I bought my first home as a abundance and good luck. A new discovery was recently made regarding a new variety of pomegranate.