As you say each to their own taste.
But I'm not playing for a team here, in my opinion the victor changes each generation, mostly so far anyway.
PS2 > Xbox
Xbox 360 > PS3
PS4 > Xbox One
I think it is fair to say that Halo defined shooters on consoles in general, before that the genre looked like Perfect Dark, Combat Evolved changed everything.
You can tell what one succeeded by what innovations survived into the now that console presented for the first time.
Xbox Live (paid for online that actually works), backwards compatibility (the PS3 quickly gutted the PS2 stuff because of it being overpriced), reliably faster download and install speeds, party chat, being able to change your name, a decent user interface, a controller that does not ruin your hands, better first party games, and better running third party games.