Hey, when I'm trying to hook up my 360 to certain T.V.s it's like the video cable doesn't work. I'll hear the audio, but theres no picture.

This only happens with certain T.V.s as I know of multiple ones that like to work with my cables.

Does anyone happen to know of a reason? Like the cable, the t.v., my system, or some other problem?

Well if it works on most TVs and just not a few, then one would have to assume that it is the TV's fault.

Are the TVs that it works on old or new? How about the one(s) that it doesn't work on?

I'd say about all T.Vs are less than 5 years old. Except maybe one, but its one of the T.V.s that it works on. It doesn't have the yellow, white, and red set-up, however, I attach it to the VHS player.