According to The New York Times we can expect a full trilogy of films.
"Three megamovies are planned. The main character will be a “magizoologist” named Newt Scamander. The stories, neither prequels or sequels, will start in New York about seven decades before the arrival of Mr. Potter and his pals."
The film project is being referred to as Fantastic Beasts and Where to Find Them after Rowlings short companion novel of the same name. We first learned that Rowling had turned screenwriter last September(2013) when Warner Brothers first announced their agreement.
"Under the agreement, the studio said, Ms. Rowling, who wrote the “Harry Potter” books, will become a screenwriter for the first time, working on an adaptation of her “Fantastic Beasts and Where to Find Them,” a book that extends the world of wizardry in the Potter series." The New York Times
Perhaps, the most interesting bits of information about the project are in the below statement from J. K. Rowling's personal website regarding the films.
Here's to hoping the new story will be amazing and unique!
Click to see news about these upcoming adaptions: