I've got Homeowners, Car Insurance, Personal Property Insurance, Checking, Savings, 529, and Credit Cards with USAA. I have been extremely pleased with their service.
I've been on there for ~8 years, here have been my claims:
1 - Hurricane Ike: No House damage, but the power outage lasted a while and I had to replace all the food in my fridge. USAA paid me for the food in my fridge.
2 - Wife drives car onto flooded street, kills the engine: Paid the $500 deductible, they covered the rest for a new engine. No change in premiums. I believe they filed it under a flood policy for the car, even though my wife was the one that drove it into the dang half-pond street to begin with.
3 - Wife rear-ends someone on freeway: Car is not totaled, but is going to cost more than it's worth to fix. USAA gives me all the money it would cost to fix, and we sell the car for scrap. Use the money for down payment on a new car. No change in premiums.
4 - I rear-end someone (minor). Pay my normal deductible to fix my car, they handled all the other guys stuff. Slight bump in premiums (maybe $20 per month).
5 - Check stolen and someone created a new checkbook with it and began writing checks all over town. They closed the account, opened a new account, put all my money back within 24 hours.
So that's 5 incidents where I have had to file claim or deal with USAA in the past 8 years. They have not dropped me or jacked my rates sky high, even though 3 of those were at-fault incidents.
USAA is WORLDS better than Wells Fargo (my previous bank), and until they do something different, I will continue to use them for all of my stuff.