yes I've got an arcade and xbox live works fine
of course you can use with arcade,pro,and elite! (:
Arcade? Probably not.
yes
yes, i use a 360 arcade and it works perfactly!
No, any HDMI cable will work.
Yes you can, the xbox arcade is just an xbox 360 pro, without the hard drive in the box.
No, the Xbox 360 Arcade cannot use the new Kinect that was released in November. The Kinect requires a dedicated power supply and specific hardware capabilities that the Arcade model lacks. Only the Xbox 360 S and later models are fully compatible with Kinect.
yes you can use the xbox 360 controllers on the xbox 360 slim. I use my controllers from my old xbox on my new 360 slim.
All Xbox 360's are basically designed to use a hard drive, so an arcade version can definitely use a 20 Gig hard drive, but if you may have to recover your gamertag.
There is no such thing as a corded xbox 360, all 360 can use wireless controllers, even the arcade unit.
Old gen Xbox elite yes and I think for the Xbox s is well
I don't understand your question. Which Xbox 360 you use has nothing to do about Xbox LIVE. The only thing that matters for Xbox LIVE is your internet connection.