If you're asking if there's a bore sighter for every bullet shape, the answer is no. If you're asking if there's one for either the .223 or 5.56 x 45 mm cartridge, the answer is yes.
Like all bore sighters, they'll get you in the ball park. Unless a higher power smiles upon you, they won't get you exactly on target.
As bizarre as it sounds; there is more to sighting in an optic on a firearm, than where the bore is pointing! Barrel whip is the first that comes to mind. Second is "Bedding" (fore end pressure on barrel) I had a pencil barrel CAR from the 90's that the second shot at 25 yards was 19" higher than the first! The third shot from a cold start was over 36" high. The 2 piece hand guard was a major factor. The pieces were over 1/8" different in length! The thin barrel couldn't overcome the force of the upward torque!
Ivan
You dont need one if you have a decent rest at your range. Take your rifle, take the bolt out (or upper off for AR platforms). Secure it well with a friends help or with some sandbags. Sight your target through the barrel on the 25 or 50 yard line. Without disturbing the rifle, look through your optic of choice and adjust it so your reticle or dot is on the same target. Look through the bore again to ensure alignment. Voila, your first shot is on paper. Fine tune from there.
Exactly what I described above, I call that hillbilly zero. Works every time.