People should stop using the terms "PSX" and "GCN". And "oXbox", but I think we've already discussed that topic on this thread if I recall correctly.
Not only is PSX
factually incorrect by now, it's also illogical. Unlike any other console manufacturer, Sony decided to to name their consoles using a chronological order, so PS(1), PS2, PS2 and PS4 are very clear and logical terms. Even ignoring the fact that Sony has indeed launched a PSX, I still don't see a reason to use the term as no other console is reffered to as by their development name. People don't call the GameCube the "Project Dolphin".
"GameCube Nintendo". No console is named like that. You don't talk about the "Wii Nintendo", "Game Boy Advance Nintendo" or the "Genesis Sega". So why would you say GCN? Even if you said NGC, the letter N would still be redundant. What else GameCube would you be referring to? The Commodore GameCube? Sure there is the Panasonic Q, but it's rare, and the abbreviation should refer to the standard base model. People don't abbreviate Genesis/Mega Drive as "SGenesis" or "SMD" just because there is a LaserActive console that can play Sega games. Ditto PC Engine.