Not only do you have to worry about them making a technical mistake there is also the risk of a phishing attack.
A while back I did a bit of research about what was the most reliable registrar and the only one that i could find was Markmonitor. Most of the big sites (google.com facebook.com etc) use them. They offer lots of cool features that i had never heard of like registrar level locking and custom 'protocols' (like a phonecall from X no. of authorised people) to validate a change. Plus some others that seemed less interesting (to me) such as the brand protection.
They do of course charge a pretty penny. From memory there was a minimum cost of $30k per year which allowed you pretty much as many domains as you might want and the promise of being able to get ahold of a human if something goes wrong.