Almost all metallic shades (bronze, gold and copper) look really great on brown eyes, but bronze should be a staple. The deep, bold color can be used to draw out any 'flecks' of gold or yellow you might have in your brown eyes to make them really stand out. Bronze pairs really well with green eyeshadow, another excellent choice for those with brown eyes.
Almost every single shade of green looks amazing on brown eyes. It's the perfect eyeshadow color to compliment light brown or darker brown eyes. Metallic greens, with just a hint of gold in them, are beautiful on brown eyes. Consider trying a khaki green or even a forest green, too (the latter can really give some high drama to your eyes).
Brown eyeshadows, quite honestly, look fantastic on almost all eye colors, but with brown eyes, you'll want to go for a bold brown to offset the natural eye color. Metallic browns are a great choice. Just be sure not to overdo, or the brown shadow (if it's too heavy) will have to "compete" with your natural eye color. The idea is to enhance, not overpower.
Purple, like green, is a must-have eyeshadow color for those with brown eyes - light brown or dark brown. Almost all shades of purple compliment brown eyes. Purple might just be THE single best eyeshadow color to set off and highlight brown eyes. Try pairing a medium shade of purple with bronze for big-time drama!
Believe it or not, blue eyeshadows really can look great on brown eyes. Navy blue, in particular, can be used as an 'accent' color to define eyes and make them "pop." Try pairing a deep navy eyeshadow with gold to highlight, then line with a navy-colored liner and voila! Instant, gorgeous eyes! If you're feeling a bit bold, opt for a brighter blue, perhaps a cornflower or aqua shade.
For those with particularly deep-set brown eyes, eyeshadow shades in rose and even some light pinks are a great option. Use the rose/pink along the brow bone to enhance deep-set brown eyes and make them stand out beautifully. Consider pairing the rose shadow with gold and/or a darker purple for high drama. With pinks, try to find eyeshadow shades with brown or gold undertones.