Which auto insurance companies will not cancel policy/raise rates if there is an accident?

I am comparing prices for car insurance. I have had State Farm forever. After talking to them and asking them what I should look for when shopping for car insurance is a policy that wont cancel you or raise rates if you have an accident. We have made claims in the past (storm damage and I hit a tree stump - no actual vehicle to vehicle accidents) and our rates have not gone up. Do other companies do the same? What about Traveler's Auto Insurance?