Playstation has the best variety, and in the last 10 or 15 years, also has the most quantity of quality games too.
But as a brand alone?No, Nintendo is way bigger.
Edit:Oh, how the market in general view the console and associate it with games?Then yeah, I can see it being Sony, though Nintendo might balance things out with the Switch.But then I would say that the Playstation brand being the biggest one, not Sony.
My (locked) thread about how difficulty should be a decision for the developers, not the gamers.
https://gamrconnect.vgchartz.com/thread.php?id=241866&page=1