In a high intensity combat situation with many system authority vessels..don't fire on a target before scan shows as 'wanted' (even if its plainly obvious to everyone in the whole universe that he's wanted!!)...trust me, that unleashes a whole can of whoopass!
Sorry if I am putting this in the wrong place but these forums get a little overwhelming. My advise regarding playing this game is get a good video card. Up til yesterday I had been playing quite happily but the slow bulletin screens and other menu screens have been rather slow. I put this down to internet connection. Then on a completely different thread I heard people describing graphics which I did not see. I decided to lash out and buy a better card - had HD 5650 bought a Radeon R9-270. Well OMG the game so much faster and so much better. Its like chalk and cheese. Well worth the expense.
When hyperspace jumping, you can set throttle to zero as soon as the 4-3-2-1 countdown starts. This will save you any number of emergency stops on arrival because you lost concentration.
When exploring in deep space and you come across a signal source don't get too excited and forget to activate your shields (which have been deactivated for the last 2000LY) before dropping out of supercruise and investigating....