Are there any hdmi cables that have the hdmi plug at one end and the red, yellow, and white plugs at the other?
yes! of course!
Yes, there are such products. Here is a (lengthy) link to one on eBay.
http://www.ebay.com/itm/usa-seller-RCA-HDMI-Video-AV-Composite-Adapter-Converter-CABLE-RED-YELLOW-WH...
If you choose to buy it somewhere else, just search "hdmi av converter".
Hope this helps!
However, you would need a hdmi (input) to composite video (output) and red/white (output) active converter box, and one hdmi cable, and one composite video cable, and one red/white cable.