Since it's late and I'm tired, I'm too lazy at the moment to type out the full gamut of modules.
But I think the current max decks needed to hold every module is 6701.

That number includes Arc-Rift capacitors, which no one will ever live long enough to get all four of.

A more sane number is thus 6637 - which includes all modules actually obtainable by human beings.

This is the number of decks I currently have occupied, and I have every deck module that I know of that's in the game. The only things I'm missing are a Decryption Quad-Frame upgrade, the Auto-Blaster upgrades, and the Exotica 2.0 gun (I have 1.0, they use the same amount of space). None of my missing upgrades require more deck space. So am I right? Does anyone have higher than 6637, NOT counting Arc-Rift Capacitors?

Hmm..have all the hypercharged bane emitters and Sarkonis barriers? (and all the limited GP items?)

Yep.

I count only 6677 - 24 less than you did. Would you mind sending me a PM with a copy / paste of your ship modules page please? Even if it looks messy I could use it to find out what did I miss.

I would like to put a list together that includes the stats bonuses after installing everything.

Cheers,
Sharn