designed 和 released是过去分词；ranking 是现在分词 都是非谓语动词,单独不作谓语.句子缺少谓语
Angry Birds,( was ) designed by Jackke Lisalo and released ( in )December,2009,ranking the first of the most popular games in Apple Store.
Or
Angry Birds,designed by Jackke Lisalo and released in December,2009,ranks the first of the most popular games in Apple Store.