I will agree with some of the above posts, "Xbox" did catch on as a generic name for game system in the 2000s and even now I still hear it. PlayStation never really caught on. It's not the lingo of the savvy these days, most gamers and collectors are more specific about which games or franchises they like to play, so they'd refer to the specific game now, rather than the console, or they might just say video games and not be specific at all. It's the older generation that still uses generic terms for the most part. This is why so many game hunting scores go awry, when the modern collector approaches them with the question "do you have video games?", it doesn't click. You have to ask - "do you have any Nintendo, or Atari?"
I have on several occasions, heard older folks refer to game systems as a Sega. Once I was in GS and there was a young kid who was looking at the game Sega Bass Fishing and her grandma said "you don't have a Sega" (even though it was a 360 game). Game Boy has also long been a generic term for any handheld gaming device.
In some instances, causal players had referred to console gaming as playing the Wii, although Wii is not widely recognized as being the same as a Nintendo among these groups. Try asking the yard seller about a Wii, but call it a Nintendo. They have no idea what you're talking about.
There's something about the old lingo that I dig. I like the term "tape" to refer to a game cart. Even though I know it's technically not correct (although officially recognized as a slang term by Nintendo Power), I like a generic term over a technical specification. For some reason I like that better than being specific about which media format it is. "I'm sorry but that's not a tape, it's a dual layer blu ray disc formatted specifically for the Xbox One multimedia entertainment console, thank you very much"... yeah no, it's a tape. It's a freakin' Nintendo tape. Get over it.
