Those look like "extension" cables. The 360 requires it's own dedicated connector to plug into the console, then the other end has both component and composite/L-R. The extension would connect to the factory cable.
The only way you'll get HDMI is if you're 360 had the port. The standard 360 connector doesn't support HDMI. Only the Elite has always had HDMI. The other got it after September.
Unless your TV supports 1920x1080p, there's no reason to worry about HDMI. And I mean your TV must DISPLAY 1920x1080p, not just that it'll accept that resolution on it's input. Most LCD only display 1366x768, while most plasma's display 1024x786 and use rectangular pixels to make it seem widescreen. Most HD-RPTV's display 1920x1080i.
You can get a 3rd-party 360 component cable from just about anywhere for about $20us. Don't spend more than $30 as you won't see a bit of difference.