Cream colored furniture is neutral within a color scheme, so won't clash with your burgundy carpet. A matching set of cream couch, chair and loveseat arranged around the edge of a burgundy carpet creates a balanced color scheme that can be quite pleasing to the eye. If you choose cream upholstery with a pattern, a subtle hint of burgundy within the pattern can help to tie in the furniture with the carpet. A burgundy carpet that features a pattern with cream tones in it will do the same thing.
Black furniture presents a strong statement, so use it with care. Don't fill your living room with massive black pieces or they will overwhelm everything else. A simple, elegant piece such as a minimalist black recliner or a black leather couch can combine well with a burgundy carpet without overpowering it. Black combines naturally with red tones, including burgundy, and can make a dramatic statement, particularly if the flooring, walls and ceiling are painted in light tones, leaving the black and red of the furniture and carpet as the visual focus of the room.
Natural wood furniture can give a room an elegant and antique feel. Because the texture and appearance of wood is so different from textiles such as carpets, they tend to compliment rather than compete with each other. A burgundy colored Persian carpet with an eighteenth century design works well with antique wooden furniture to create an aura of classic beauty. Walnut, maple, cherry and mahogany are all commonly used woods in cabinetmaking, offering a range of beautiful hues to go with a burgundy colored carpet.
According to color wheel theory, avoid colors and hues that are located next to each other on the wheel. This means that green, which is a combination of blue and yellow and is opposite red on the wheel, will harmonize well with red. Purple and orange, which are next to red, will not. Avoid furniture that features strong red or orange hues. These will vibrate unpleasantly when combined with a burgundy carpet. Allow the carpet to exist alone within the red spectrum in the room, and complement it with furniture from other parts of the color wheel.