Fallout 3 had auto targeting; it did not move the crosshair but adjusted the aim so you hit the target. Very noticeable with a gatling laser and high heavy weapons skill at some distance as it had a visible constant beam.
Because of the auto targeting the beam did not followed your crosshair went a little off so it hit the target, I noticed it then my target died and the beam jumped to the next enemy I thought the effect was overdone, no problem with a minor correction then you miss by 10 cm, but here the beam was outside the edge of my crosshair.