Between the 360 and PS3 - in my opinion - the defining factor is XBox Live, not who released first. Microsoft were very clever because they fine-tuned it and worked out the bugs during the lifetime of the first XBox. Microsoft understood (because of their experience buying out the PC gaming market) that the future of gaming was through online multiplayer and social networking. XBox Live is basically FaceBook Plus. It has the potential to be as big a phenomenon as FaceBook in a few years time if they play it right.
That's the main reason why more people play the XBox than the PS3. Gamers know when a new game gets released (i.e. Modern Warfare), if you want to compete with the best and want the 'bragging rights' to show off to your friends (gamer points), and play with your friends, while you catch up with them you need the XBox, not the PS3 or Wii - or even the PC, clever Microsoft is transferring their PC market to the more lucrative console market because of superior multiplayer support with added social spice!
It's like FaceBook and MySpace. In my opinion MySpace had much greater potential and is a lot better. But people use FaceBook because that's where everybody is. Two identical games get released, XBox sells more because people know they can play with their friends on it. And FaceBook is pretty much set now for at least a decade, as is Live. They're both unstoppable because they have monopolised social networking in their own fields. Sony was too slow in the bandwagon, just like Apple was releasing a console.
Any way Apple already have released a 'console' - per say - like you describe. The Mac Mini is effectively a gaming device, only they don't have any games to put on there! Why? Because they didn't invest in gaming studios, AND they stupidly (though thankfully) invented boot-camp. What do you need to play games on the mac-mini, iMac, etc? Boot-camp and Windows!
Who owns that? Microsoft. That's why they were able to do well with the XBox, they just built a Mac Mini effectively, and ported all their PC games over. Apple can't compete because unlike Microsoft they don't have anybody making games for them anymore. They could have done it 10 odd years ago and probably be in Microsoft's place right now, but for whatever reason (probably choice, from what I hear about Apple and games) didn't think it was worth it or to the advantage of their 'image'.
Look at companies like Bungie. While Apple let them slip through their fingers Microsoft actively sought these gems out. Halo was going to be a Mac game, until Microsoft bought Bungie out when they had the idea of the 'PC Mini' (aka XBox) 5 odd years before Apple! Can you believe that, Halo was an OSX game!?
As for Nintendo being a blip in the radar. Well that's not really true. Nintendo's only time in second place was during the PS1 days, but even then they were making money and games Mac and PS1 users could only dream of. And let's not forget the GameBoy, which sold more than the PS1.
Basically it's too late for Apple. It's like Microsoft with 'Bing'. It won't happen no matter how many times they change the name.
Now as for a handheld gaming device... i.e. taking on Nintendo, now there's a possibility. But they have tough competition in Nintendo, that's for sure. The chances of Apple coming anywhere near close to the quantities of GameBoys sold every week is pretty much nonexistent right now and in the near future due to pricing. Nintendo will give Apple a good run for their money unless Apple really start putting some concerted effort into it.
P.s. sorry for high-jacking the thread guys.
Sacha