Even today I still remember the great fun we had( )games on

句子成分
主语I
谓语 remember still作状语修饰remember
宾语the great fun ,we had 定语从句修饰the great fun
even today状语修饰整个一句话
playing games on the beach on those happy days作状语修饰整个一句话,可以用现在分词短语作状语,它是由状语从句变来的,因为主句和从句的逻辑主语一致,所以省略了主语,而且主语和后面的动词play是主动关系,所以用了现在分词形式表主动。