I have green eyes. They stand out most with colors around the opposite end of the spectrum: purples, reds, oranges, some pinks, etc. But I also really like browns and blacks for my eyes.
I get jealous of people with brown eyes sometimes because they can usually wear ANY color shadow without clashing. I'll still wear any and every color I feel like wearing, but I hate how certain colors will dull the color of my eyes. So I always have to brighten them by pairing every color with one of green's color opposites. =P