This mod allows you to combine any armor pieces in the game, including civilian outfits.  These pieces are only available in the soldier customization screen, so soldiers will never start with any of these.  This mod does not add any armor pieces, but there are many other mods that do this.

Update March 20: re-added the "invisible" armor pieces

Update March 17: the Firaxis patch fatally broke this mod, but I have fixed the problem
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Warnings:
* General warning about mods: if you uninstall the mod, save games using this mod will fail.
* For some torsos, choosing specific arms and legs may result in the soldier's arms and legs becoming invisible.  If you find this, please choose the arms and legs options which are the last ones in the picklists.  These allow the torso to supply its own arms and legs.
* In the vanilla game, you may customize a soldier in the character pool, and use veteran options.  When the soldier appears as a rookie, all these options are lost.  Therefore, this mod does not take effect in the character pool; it only takes effect in the armory.
* The armor is not sticky.  When you gain a new armor tech, the armor will be reset to armor for that tech.
* The torso, arm and leg picklists only display numbers, just like the vanilla game.  There are more options, so the numbers are larger.