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After filling out a fuckload of templates, I've discovered that I'm incapable of answering this question.
Blue because nostalgia, escapism from a bad family situation.
White 2 because it was good and it was the first time I really let myself explore the metagame.
Emerald because it was unique and bizarre.
Platinum because it was the first game in which I completed the dex, and I spent so much time with it I was really bonded to my team.
Overall... I guess it comes down to Blue and Platinum and I don't really know which. And yes, I know D/Pe/Pi had issues.