You get exactly the same limited liability from an LLC or a corporation.
But it does not work like insurance. There is a complete bar against
any claim passing through a company to the owners, except if there is a
good piercing the corporate veil argument. Piercing arguments are rare, and extremely difficult to win in court, if a claim ever gets to court in the first place. So as long as the company is the one doing business, the individuals behind the company are safe.
If you are worried about whether you are protected, make sure the company is in good standing and organized correctly, and in a corporation, check the corporate documents to make sure the liability protection is clearly stated. In an LLC, the default statute contains the right language, so even if there are no corporate documents, you are safe from people outside the company. People inside the company are a different story.
But if you want a real answer in any particular situation, I need more context about the claims about which you might be afraid.