Myself and my Uncle Steve vs my Grandfather and out friend Glen using Full Thrust vector movement.
This was the only battle we have ever had where the game lasted more than 2-4 turns after our ships got into firing range.

My fleet
1 Battleship
1 Carrier
2 Destroyers

My Uncle;s fleet
2 Battleships
4 Destroyers

Glen's fleet
1 Wing Defender
1 Warbird
3 Medium ships
2 Smaller ships

Grandpa's fleet
2 Battlecruisers
1 Destroyer

The battle started on turn 3 when we got into range, with my Uncle flinging strikers at Glen's Wing Defender and destroying it before it could take part in the battle, and also damaging one of Grandpa's Battlecruisers. Glen's strikers proceeded to shoot down some of Uncle Steve's drones before they could reach their target.
My Battleship receiving a bombardment from all remaining ships on the opposing side, stripping it from 27 to 3 hull in 1 turn. In turn, we destroyed one of Glen's medium ships, and badly wrecked another one (the medium ships had remarkably heavy firepower). At the end of the turn, my Carrier launches fighters.

Next turn after maneuvering, my fighters eliminate the damaged medium ship of Glens, and damage the undamaged battlecruiser of my Grandfather. Unfortunately, I underestimated the anti fighter fire power of the opposing fleet, destroying 3/4 of my flights in a single go, as well as destroying my battleship and damaging one of my Uncle's. We manage to finish off the last remaining medium ship, as well as one of his small ships.

The next several turns are basically all close quarter maneuvering, me losing a destroyer, both of my Uncle's battleships being heavily damaged, Glen losing his remaining small ship, and my Grandfather losing... his destroyer.

After 1 turn in which my uncle's battleships are destroyed, we decide to warm up the hyperdrive and escape, but before we do we finish off one of my Grandfather's Battlecruisers, and Glen's last remaining ships.

My carrier does not manage to escape, leaving my Uncle's 3 remaining destroyers as the only survivors.

Without a doubt the best battle I have ever had in this game, all thanks to Full Thrust movement making maneuvering not only possible, but practical as well.