I'd been with GEICO for close to 20 years, and do still check every year to see if I can get the rates down. 2 cars, one house. No one has been able to beat them for my situation.
In the last 2 years, they got me a killer deal - in certain areas, they now offer GEICO County Mutual (still GEICO, but a different group under that umbrella) where I saved over 50% of what I had been paying... the only drawback was I lost the accident forgiveness option. As I didn't care about that (no accidents in 20+ years and light driving anyway) saving 50% over the already decent GEICO rate was a no brainer.
My homeowners insurance has been creeping higher (in my region GEICO's homeowner insurance is through Travelers), but my neighborhood is super hot and the home prices keep going up (my house plan sells pretty much in less than a week for what they ask for). So I can't get them to lower the rates too much. :(
I've had to put in claims with both Travelers and GEICO, and had excellent service (like above and beyond type of service). English speaking reps available 24/7 even on holidays, very fast coverage, and in the case of Travelers - we were hit by a major hurricane and our entire area was claim city... we had an agent at our house in 2 days, cutting us a check on the spot. Some neighbors didn't see their agents for weeks. And our rate didn't go up.