Simple:
* Deep brown
* Chocolate brown
* Espresso brown
* Auburn (if there's a reddish hue)
* Brunette
More descriptive:
* Rich, dark brown
* Sable (a luxurious, glossy brown)
* Ebony (a very dark, almost black brown)
* Toffee-colored
* Chestnut
* Hazelnut
* Dark mahogany
* Caramel (if there's a hint of gold)
* Tawny (a slightly reddish brown)
More poetic:
* The color of rich earth
* The shade of a stormy sky
* As dark as a raven's wing
* Like melted chocolate
* A cascade of midnight hues
* The color of autumn leaves
The best description will depend on the specific shade of brown and the tone you want to convey.