For an easy, versatile look that makes brown eyes stand out, use a nude shadow (try just a shade darker than you skin tone) on the eye lid and slightly above the crease. Lightly take the shadow under the eye as well for just a touch of color. Line the top eye lid only with very dark brown or black eye liner, and finish with two coats of mascara on curled lashes.
The beauty of this look is that it's perfect for daytime, but you can easily ramp up the drama for evening by creating a thicker, darker eyeliner line for evening.
Keep the attention on the eyes by using a soft peach or nude blush and a neutral lip gloss.