There's a logical reason for SOME increases - premiums go up because it costs more to replace your house, your roof, etc. if anything happens. However, your increases seem excessive.
In my state, car insurance rates are set, so there is no price shopping - so we shop for service and claims processing. But that may not be true in your state.
I'm a big believer in giving the insurance coverage sheet to several companies and letting them beat what you have. You want to do 2 things: 1) compare apples to apples, so get them to price out the premiums for the exact coverage you have now, and 2) tell them your premiums are going way up despite not filing claims, and ask where they would advise you to cut back some coverages.
I also think it's worth looking at independent insurance agents who are brokers for more than one insurance carrier. They make a commission on their sales - essentially they are "freelance" salespeople for the carriers, who save money because they aren't paying those people to be on staff all the time (including medical benefits, workers comp, etc.). So it shouldn't be more expensive to go to a small broker. Often you get better service - I find that my agent does all kinds of things for me, cutting red tape, going to the motor vehicle department so I don't have to wait in line, delivering and returning license plates when needed, etc. I find I get the same 2 people every time I call, and they give me personal service. We've had several accidents (not our fault) and they have been terrific at riding herd on the insurer and letting me know where things stand. I think that applies to any broker - they're going to work with the companies that give good service so they, the broker, can keep your business.
Ask your friends who they use.
I had Geico years ago and they were fine but it was a long time back, and I also had Amica who were very good. I also think it has a lot to do with who's in your local or regional office. I left only because I went to a small broker, and like I said, rates weren't competitive.