Yes it HAS the separate ON/OFF buttons BUT you have to program them before they work as ON and OFF. The MAIN PROBLEM IS....If your original remote doesn't have the separate on and off codes, then you'll not be able to program them properly.

The only one that comes close is the Philips Pronto. After some digging around some of the HT sites and this site, you can probably find the codes and enter them into your Pronto. Dan who runs this site can probably help you in this regard if you have a Pronto. Note that not all equipment has discrete on and off codes.