I applied through an employee referral. The process took 1 day. I interviewed at Trader Joe's (Los Angeles, CA) in May 2008
Interview
Simple sit down chat talking about previous work experience and how you think you could contribute to the team and what your goals were for working there. All standard stuff.
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.