YouTube for Television, currently in beta, is accessible through your console's browser at The service features streamlined navigation and enlarged text to make finding videos easy on you, according the official announcement. It also has an optional auto-play capability allowing you to watch related videos one after the other.
This new website is available in "22 geographies and in over 12 languages." There's no mention of whether this service will arrive on Xbox 360. The announcement does note that Youtube plans to add the service to "additional TV devices that provide Web browsers, " though.
You might also like
Pro Evolution Soccer 2015 - PlayStation 3
Video Games (Konami)
Teenage Mutant Ninja Turtles: Danger of the OOZE - PlayStation 3
Video Games (Activision Inc.)