The film, which is being released as Bad Neighboursin the US, sold $51m (￡30.2m) of tickets over the weekend.
The Amazing Spider-Man 2, starring British actor Andrew Garfield, took $37m (￡22m), according to estimates.
Cameron Diaz comedy The Other Woman held onto third place with Heaven Is for Real and Captain America: The Winter Soldier completing the top five.
Neighbors sees Rogen and Rose Byrne as new parents who find themselves engaged in a battle of wits when a rowdy fraternity house, led by a frequently shirtless Efron, moves in next door.
Paul Dergarabedian, senior media analyst for box-office tracker Rentrak said: "You don't expect a comedy to be able to unseat an epic blockbuster, but historically it happens more than you think."
The sequel to The Amazing Spider-Man, which sees Garfield reprise his role as the web-slinging superhero, has made more than $550m (￡326m) in worldwide ticket sales so far.
Christian drama Heaven Is for Real has been the surprise hit of the year so far. Telling the story of a four-year-old who says he experienced Heaven during emergency surgery, it has earned more than $75m (￡44m) on an estimated budget of just $12m (￡7m).
由赛斯•罗根和扎克•埃夫隆主演的喜剧电影《邻居大战》强势登顶挤下《超凡蜘蛛侠2》夺得美国票房冠军。
《邻居大战》在美国上映，整个周末赢得了5100万美元的票房。
据估计，由英国演员安德鲁•加菲尔德主演的《超凡蜘蛛侠2》，赢得了3700万的票房。
卡梅隆•迪亚兹的喜剧《另一个女人》排名第三，《真的有天堂》和《美国队长2：冬冰战士》分别排名第四和第五。
《邻居大战》讲述了一对初为父母的美国夫妇发现，一个由赤膊的埃夫隆领导的，吵闹的联谊会会堂搬到他们隔壁之后，他们之间就经常斗智斗勇。
资深媒体分析师德加拉•伯迪安说：“你不指望一个喜剧能够推翻史诗大片，但从历史上看，这种情况经常发生，而且比你想象的更多。”
在《超凡蜘蛛侠2》中，加菲尔德重现会吐丝织网的超级英雄形象，到目前为止，取得了超过5.5亿美元全球票房的成绩。
基督教喜剧《天堂真实存在》是今年迄今为止最让人意外的一部电影，它讲述了一个4岁的孩子自称自己在做紧急手术去过了天堂的故事，赢得了超过7500万美元的票房，而它原本估计只有1200万美元。
