Some maneuvers you and your AI hostiles will be doing:
Engine kill: Allows you to fly in same direction, and shoot in another.
Reverse engines: Brings you to a stop instantly and actually throws you back a bit, in hopes the enemy will overshoot you and he will move in front of you.
Afterburn slide: Combination of reaching full speed with thrusters and then killing the engines, sending you flying away at a high rate of speed.
Strafing: Either to help you turn faster or dodge shots, you WILL be doing this.
Asteroid combat: Cut your engines behind an asteroid and strafe to the side, shoot missiles/guns, slide back into your cover and let them get closer.
Another engine kill maneuver: If you have to destroy a static target and you're taking a lot of damage, kill your engines and use your thrusters to keep you moving in a circular or square pattern around the target, at high speeds. You can blast away and will avoid hits more than you would with standard hit-and-run techniques.
Just some I could think of off the top of my head