Warner Bros. have announced plans for JK Rowling's Fantastic Beasts and Where to Find Them to debut on the big screen as a trilogy, with films in 2016, 2018, and 2020, and there's a possibility that we may see even more in the series:
"Fantastic Beasts and Where to Find Them" will be "at least a trilogy," says Tsujihara. First 3 movies in 2016, 2018 and 2020
— Ben Fritz (@benfritz) October 15, 2014
The films will be written by Rowling herself alongside her previous Potter team, and bring back director David Yates of the last four Harry Potter films.