There is no central authority.
We now see one of the major downsides of this. If the bitcoin fundation would create something similar to what OP suggests we propably wouldn't have to go through all those thefts.
No this is the beauty of bitcoin! This is why I am love with it cause no one has to give me permission to start a company. This is the free market, if you don't feel safe, don't use the service. Bad actors fade and good actors stay.
This why America is a country that power is fading away from fast, we are too quick to blame someone or have a babysitter, instead use your own commonsense.
I agree with this, however I also like the concept of the original post. Everyone would still be able to start a company, but if their service is solvent and reliable and the can prove they would be rewarded with some official recognition. Just like the Bitcoin Foundation has members, some sort of team would set some requirements. If a website qualifies then let's say that they would receive a sticker.
This would help non advanced users avoid risky services and also promote solid ones over less reliable ones. In my opinion this can only make a market better.