I will give you just the latest example I heard from a friend of mine in insurance business. AXA, one of the biggest insurance companies, has a product based entirely on smart contract. The product in question if flight delay insurance. When customer buys it all info is stored on ETH blockchain. Smart contract automatically checks the situation with the flights and in case your flight is cancelled or delayed for more then 2 hours, system automatically pays out the policy (in fiat for now).
Check following links for more info:
http://www.businessinsider.com/axa-turns-to-smart-contracts-for-flight-delay-insurance-2017-9
https://www.coindesk.com/axa-using-ethereums-blockchain-new-flight-insurance-product/
Thank you, these examples are really hard to google. Very interesting.