Play it like a strategy game building your reputation with differing factions. Try all the mods. Explore systems way outside of the trade lanes, you'll never know what you'll find. (use the map's "patrol route"
and check all three types, friendly, neutral, and hostile. The expand when you hit waypoints and bring you to places and stations and jump holes that you didn't know existed. Get a freighter and try making through hostile territory. Run Cardamime and ditch the police when they scan your cargo bay.
I could go on, the game is all up to your imagination. Every game will eventually get to the point where you've "seen it all", but there's a long way to go with this one before you get there.
Mod suggestions: Tie Universe, TNG, WTS Worlds (multiplayer only), Rebalance Mod, Massive Mod, All Good Things. Check our downloads section on the front page and set it to show "type" of file, you'll find the mods. If you need help with any, or how to install them, go to the "Using Mods Help forum" or the "Mod Announcement forum". The mods will increase your playablility interest, add new ships, worlds, make ships faster, and increase the difficulty of the game at times.
I always consider the end of the storyline missions the "beginning" of the game.
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The Next Thing I Say To You Will Be True
The Last Thing I Said Was False