There is quite a long shooting scene in the movie, where antagonists wear some sort of protective armour that is capable of protecting them from numerous bullet hits from the relatively close range. While the men in the armour are repeatedly hit numerous times from automatic weapons, their armour is apparently able to keep them safe, unless a bullet hits some spot between the protective sheets.
Are there any real-world types of armour that have similar protective capabilities, while being of relatively the same thickness as in the movie?