PlayStation 3
Having grown up with Sony platforms, and, as a young, casual gamer during the PlayStation 3's release, I soon later bought the system without knowing too much about it, including the new focus and direction that gaming as a whole was heading. I bought the system because I enjoyed the PlayStation and PlayStation 2 and had hopes that the PlayStation 3 would continue to meet that satisfaction. However, this generation began the heavy focus on online gaming and first-person shooters, which are an aspect and genre I particularly do not enjoy. In short, I was and still am disappointed in the PlayStation 3, as the overall lineup of title selections is lacking in terms of variety.
Wii
One year before the Wii U's release in 2011, I inherited a Wii. Having not ever owned a Nintendo console prior, I was able to experience a lot of high-quality titles from both the Wii and GameCube libraries. Personally, I generally enjoy the motion control aspects, especially those in first-party titles. And, of course, the debut of Miis and their collection of titles are still fun today. While there is a lot of shovelware, I don't necessarily think it's worse than the PlayStation 3 and Xbox 360. While the Wii may not have had the high-quality support of AAA studios unlike Sony and Microsoft at the time, there are plenty of amazing albeit niche titles to experience.
Xbox 360
Not ever having been someone to game with Microsoft products, I have little to say about the Xbox 360 that hasn't already been mentioned with my opinions on the PlayStation 3. However, the notorious Red Ring of Death was an abysmal failure on Microsoft's behalf. If Microsoft wasn't the conglomerate it was and continues to exists as today, the Xbox line easily could have ended here.