I have has auto insurance with Met Life for 15+ years and have never had a major complaint. I have moved several times and changed out cars. No problems whatsoever. Simply call and drop a car and add a new one...as often as you like. I've had claims and they paid promptly. When calling customer service, they are friendly and very helpful.
My only complaints are that they tend to increase the rates regularly. When I questioned them they said that it was going up all over the state but I couldn't prove/disprove it. Also, when my boyfriend and I split up (we were on the same auto policy) I had to PROVE he had insurance somewhere else before they would let me drop him. His car, no problem. But him, I had to have proof for. (What if he didn't have a car??) Anyway, luckily for me, it was an amicable split and I was able to get the proof. But then this was 10 years ago so they may have changed how they handle that situation.
Over all I have loved being a Met Life customer. I would recommend to anyone that they contact them to get a quote.