Burgundy is an excellent choice for walls in rooms you want to be warm and comforted, such as a den or dining room.
Limit burgundy in bedrooms because although it is more reserved than brighter reds, it still carries lots of energy, which can be over stimulating for some people.
Burgundy accent pillows and throw blankets are a fun alternative to traditional gray or black. Use them in a neutral colored space where you want to add a bit of color and warmth.
Burgundy is often found in oriental rugs, which can easily be incorporated into both traditional and modern interiors.