The game that got me to learn proper M+K control was Quake 2 - and specifically the machine gun weapon in that, which had a decent line of recoil to it. I'd suggest trying that; starting off with the basic weapon to practice basic marksmanship, then I think there's a MG in one of the secret rooms in the first couple of levels, so after sticking with the pistol a bit to practice precision the MG will help you work against movement (in this case recoil, but the same skills apply to precision-on-the-move)
I suspect this might be effective in any game where you transition from a precision weapon to a spray weapon with noticeable recoil
I suspect this might be effective in any game where you transition from a precision weapon to a spray weapon with noticeable recoil