I applied in-person. The process took 2 weeks. I interviewed at Trader Joe's (New York, NY) in Mar 2015
Interview
two in person interviews with two different managers who asked the same customer service questions and stuff. very basic interview. nothing hard or complicated. lasted about twenty minutes each time.
Applied online and had one in person interview with the captain. It lasted maybe 10 minutes. Got a call a week or so later that I got the job. Very fast process.
It's two to three interviews, the final with the Captain (or highest manager) of the store. The interviews are largely to get to know your personality and how well you would do at customer service.
The interview process was absolutely wonderful! I didn't feel stressed or nervous and it felt like I was just chatting with a friend! Trader Joes is a great company and the interview was great.