From 2008-2011 the share price of Lions Gate Entertainment (NYSE:LGF) remained persistently stuck around the $5 to $7 range. Then The Hunger Games the company’s $687 million worldwide box office phenomenon came along and lifted the stock into the mid-teens.   With the box office strength of The Hunger Games and the final installment of another young adult book-to-movie adaptation Twilight Lions Gate has powered right up near the $20 mark in the past week.     With the enormously lucrative Twilight franchise now in the rear-view mirror Lions Gate has moved swiftly to find the next big teen girl-friendly ...