I guess you're referring to something like this?
https://www.amazon.com/Xbox-360-Elite-Winter-Batman-Bundle/dp/B002LBGB1S
That's the Elite version of the OG X360 system, which is the least likely to RROD of the first model of the 360, though the S and E models are so much better than the OG X360. It's a revised version which comes with an HDMI port and somewhat better internals with a lesser chance to RROD, though since it's still the original design in form, it still has a possibility to do so.
The X360 S / Slim is an update to the OG X360 design, where it comes with built-in 2.4Ghz wireless, an internal hard drive bay than the external hard drive on the OG Xbox 360, a dedicated Kinect port, additional USB ports (5 total) and an integrated optical out. It's a smaller design than the original one, plus it ha
The X360 E is a refined design from the S / Slim, where it drops the optical out port the AV port needed for component, adds in a dedicated composite out port and drops one USB port (4 total). It's smaller than the S, slightly quieter and uses the least power.
If you're looking for a non-new system, I'd suggest trying to find a S or E model than the OG version, mainly for the updates they did to it as well as a much lesser chance for RROD. There are a decreasing number of new systems in the retail channel and they're all E models.
http://gaming.stackexchange.com/questions/169053/what-is-the-difference-between-xbox-360-and-a-xbox-360s