I applied through the university recruiting (resume and cover letter). Exactly one week later I received a call to schedule a phone interview. The interview lasted about 30 min and was not that difficult. They mostly asked about specific roles I had listed in my resume. Three days later, they emailed me a link to a brief online personality test.
Ten days later, BK called me saying they wanted to fly me to their headquarters in Miami for an in-person final round interview. Two days before the interview, I received an email with specific instructions, namely that applicants were to do a three minute presentation in front of the CEO and 3 executive vice presidents describing your background, strengths, weaknesses and why you wanted to work for Burger King.
In Miami they gave me and the other applicants a tour of the building and scheduled a Q&A session with former Corporate Management Trainees. Each applicant then conducted the presentation. That was the gist of the day.