This is for Albion Prelude only, if used in TC it may make a mess of your universe.
How it works
Within seconds after starting a new game or loading a save after installation, a message will pop up asking if you want to set the plots as complete.
There are two options, the first will set all the plots as complete.
The second will cancel the cue allowing you to play the plots normally. If you started as The Terran Commander, then this will allow you to play the Hub and PHQ plots without the need to complete the Albion Prelude Plot, all other start requirements will need to be met.
What it does
It cancels all the plots, and marks them as complete.
Plot reward ships are generated under control of various races, control will be turned over to the player when they enter the relevant sector. If you are in a sector with reward ships, you will need to leave and re-enter for them to be turned over to you. For example, when you enter Argon M148, there will be a Centaur and Advanced Discoverer that are now yours.
The Hub is connected between Kingdom End and Rolk's Drift, on entering the hub sector control of the Hub is turned over to you, all gate sets are active and it has a full supply of ecells to move the gates.
Where to find everything
Albion Prelude Plot: Albion Alpha: Aamon Prototype and Three #deca.cefa's. Argon M148: Centaur and Advanced Discoverer.
PHQ Plot: PTNI Headquarters: Albatross - with PHQ in the cargo hold.
Hub Plot: Hub Sector: The Hub...

What it won't do
It won't allow you to choose which plots you want to do, it's an all or nothing deal.
Installation:
Extract the zip folder into the addon folder found in your X3TC root folder, the files should end up in your director folder where they need to be.
Download:
I have moved all my downloads to NexusMods, in an effort to ensure they are still available to anybody that still wants to use them:
Dillpickle's Mission Director Collection for Albion Prelude