Modern milspec BA with protective inserts can easily stop AK
7.62mm rounds, given normal level 3 protection can stop NATO
7.62mm, which is quite a bit more powerful.
It is no secret, and if you upgrade the level of protection you can
even stop AP rounds, but of course as always... weight.
The thing about BA is that while it cannot cover your whole body,
it can drastically cut the losses your forces take in combat.
Wearing BA can reduce the injuries and deaths taken from hostile
small arms fire by up to 70 percent, because in combat 70 percent
of wounds are taken to the torso areas which are covered by BA. But
of course your mileage might vary depending on the design of your
vest, how much it covers and stuff.
So if you wear BA, your odds increase by roughly 70 percent...
though you must factor in that BA makes you move slower, but I
doubt that affects us that much unless the armour is really a
ton...
But if you want nearly full body coverage:

The Trojan suit, an 18kg near-full body suit that is rated to
protect you from rifle-threat small arms fire, IED explosions (not
too powerful), and other nasty stuff. Weak points are probably the
seams in the suit at the joints, fingers and neck.