Rental shop chain TSUTAYA reported the 20 most rented foreign movies in their chain from 2016 January to 2016 November. According to it, the most rented movie was Jurassic World. The ranking does not include animation movies, like Zootopia.
The following list shows the top 20.
Star Wars: The Force Awakens
Mission: Impossible - Rogue Nation
The Scorch Trials
Batman v Superman
The Transporter Refueled (Le Transporteur: Héritage)
Captain America: Civil War
Who Am I - Kein System ist sicher
Independence Day: Resurgence
Mad Max: Fury Road
Source is TSUTAYA.