Think back to where the games industry was a decade and a half ago. PlayStation was king- the PS2 had outsold every single one of its competitors on a scale that's ridiculous to think about even today, a bunch of major third parties made games exclusively for PlayStation, and the brand dominated mindshare like nothing else did. It was almost a monopoly, driven by what is the most successful console ever made, even to this day. In other words, when you thought gaming, at that time, you thought PlayStation.
Toppling its dominance should have been an impossible task, but it was one that the Xbox 360 managed nonetheless. And it was, no doubt, helped by Sony's own bad decisions and failures with the PS3, especially in the earlier years of the console's life- but that doesn't take away from the fact that during the Xbox 360 years, Microsoft were absolutely on fire, and with it, they delivered what is likely always going to be remembered as one of the greatest consoles of all time. And their success with it was multifaceted.
Absolute amazing console. Great hardware (despite the red lights), amazing controller, easy use of party groups and social communications, the arcade weekly release with demo.... one of the best systems I ever had.