There are special eyeshadows that are made to enhance and bring out your specific eyecolor.. Its a 3 step process and it works wonders...Its made by Almay, and they also have mascaras and eyeliners that go with the colors =)
You can google image search ""Almay eyeshadow for brown eyes" And it will show you what the product is!!
Cool hues. Like purples, blues and greens. Since your eyes are medium colored try for darker shades than lighter ones. Deep purples, navy blues, and forest greens are pretty with brown eyes.