I think i kind of get what your getting at. So instead of driving my head directly forward with my straight punches, my head should go just slightly forward with a bit of a diagonal motion towards the hand that isnt punching.
Lucas' video is good, as is the one Sinister posted last. It's of a guy named David, I believe.
As for your description: sort of. The cross is a much harder motion to learn than it seems at first. I've had a long battle with trying to get mine just right. The weight, as Sinister describes it, moves diagonally downward. I didn't get what that meant when I first heard it, but I can feel it now. What you want to avoid is driving your weight
forward off the back foot, because that will only make you give the opponent your face. You want to bend your knees, and drop that weight from your right hip (assuming you're orthodox) onto your left hip as you throw the cross. When I do it right I can really feel my left hip kind of fold at the joint. It works better for me to feel this weight go into my hip than just into my lead foot, because when I focus on foot-to-foot weight transfer, I tend to start leaning again.
sullivan80 once told me "turn, don't lean," and that's been a good maxim to keep in mind. You're dropping your weight onto your lead hip, turning your hips and shoulders, as if trying to bring that right shoulder over your left leg.
Ideally your head doesn't go forward much at all. It moves side to side slightly with the punches. On the jab there's a bit of a pulling back motion of the upper body as the arm extends, as well. But remember that any side-to-side movement is a function of your hips being loaded--weight moving back and forth from one hip to the other. It's not you deliberately moving your head or upper body around. Weight goes from one hip to the next, the head moves the right way on its own.
Hopefully that helps. All I know about good boxing I learned on this forum, so post videos and stick with it. I promise you'll see improvement, and hopefully get your butt kicked less often. The fewer punches you take to the grill, the better. That's good boxing.
P.S. I see now you do Muay Thai. No worries. So do I.
The same shit applies.
