play around with the Sherwin Williams color visualizer to find something that you like. It is the best paint visualizer on the web, imho. I like how their color palette is laid out, I like that you can search by color family & color name, the "painted" rooms look the most realistic, and it suggests coordinating color schemes. You can literally spend hours:
http://www.sherwin.com/visualizer/
I think an earthy green like "lemon verbena" (# 7726), would look terrific with the burgundy & the green that you already have.