I applied in-person. The process took 1 week. I interviewed at Trader Joe's (Atlanta, GA) in Aug 2012
Interview
The interview process was very simple and comfortable. The managers were straightforward. This was basically a 2 step process. They asked me what I liked about the company and why I wanted to work there. Within a week of my interview, I was offered a position as a crew member. I stayed with Trader Joe's for 3 years.
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.