Browns, beige and neutral tans. Gray's and charcoals look good with this eye color, as do violet and lavender. You can mix it up with a lavender and a violet.
Khaki and olive green are a great color combination. Browns with green highlights or copper highlights are always a fun option. Try copper and even gold. If your eyes have a tinge of green, or like mine are half green, choose green eye-shadows as well.
You'll find that even though you've heard that you should never wear an eyeshadow the same color as your eyes, that brown shadow can look very good with brown eyes and green shadow can look very good with green eyes. Sometimes it's a matter of finding the "right" shade. Brown eye shadows are all pretty safe, so you don't have to worry too much about those. Colors like purple, green and blue require a bit more testing.
Black is out, so don’t use it as an eyeshadow.
Keep trying until you find a color you like. You'll know when it's right- trust your instincts.
Colors To Avoid
Like I said, I hate to rule anything out, but makeup tips for brown eyes should include that certain pink and mauve eye shadows can cause you to look swollen or puffy around your eyes. It isn't true for all women or for all pinks, either. But if you're certain you don't want to risk it, avoid pinks. Mauves also fall into this category. It may be because women with brown eyes tend to have more yellow skintones making them warm complexioned and pinks and mauves are definitely cool colors. The blue in the pinks can react with the yellow of the skin producing an unattractive feature.
And while it isn't specifically makeup tips for brown eyes, you may want to avoid blue eyeshadow too. There's the misconception that blue eyeshadow is "out", but like I said, it really depends on who's wearing it. Playing it safe would include skipping this color.
Silvers are not a good color for brown eyes. They tend to cause a “washed out” look. Leave silver for blue eyes.