Look, I'm just gonna say it: If it takes you five movies to find where the fantastic beasts are, you're doing a really bad job of finding them. J.K. Rowling has just confirmed at the Global Fan Event in Los Angeles that Fantastic Beasts will be the first movie in a series of at least five movies. Rowling said that she had just finished plotting the overall arc of the pentalogy out -- however, there could always be more.
According to Rowling, the next Fantastic Beasts movie will not take place in New York, but instead another world capital (although presumably Eddie Redmayne's Newt Scamander will continue to be the thread that ties them all together), giving insight into the wider Wizarding World before the events of the Harry Potter saga.
J.K. Rowling might be done with Harry after Cursed Child, but she's very clearly not done with anything else. The first Fantastic Beasts movie arrives November 17.