Pick three accent colors and work with the brown.  With a deep, chocolate brown I would choose burnt orange, golden yellow, and a deep red. 

With brown walls, your dining room/kitchen furniture can be black.  Add black frames to the walls, black candles, or framed art with your chosen accent color.  Deep chocolate, black, and burnt orange looks beautiful in a dining room.

Add your accent color through accessories such as throw pillows or blankets. Baskets with multicolored liners and lamp shades also work to pick up accent colors. 

Be sure to add a large area rug to your floor to emphasize your color scheme.  A rug such as this neutral/red contemporary would go great in a brown room.