Don't fly without insurance.
Don't forget your fuel-scoop.
You can discover good trade routes, plentiful mining spots, and the best hunting grounds by searching for community run web-sites on the Internet, as the game doesn't provide anything like this internally.
If you don't want a bounty; do not shoot things that aren't labelled in red, e.g. WANTED or MISSION TARGET.
The system in the bottom left corner is your next one, not your current one.
The hologram of a space-station shows the orientation of the letterbox. Position yourself in-between the planet and the station to have the letterbox pointing forwards, saving you that frustrating trip around a station.
Once docking has been granted, embossed arrows appear on the station hologram to indicate the direction to the letterbox.
If you hire help, don't give them a remlock mask, let them die in the cold harshness of space when your ship is destroyed while you're scooped up by search and rescue.
Please avoid landing your ship atop unsuspecting explorers on foot.