1. Ocean blues: Deep shades of blue, teal and green can highlight brown eyes beautifully. A great kit with a few different ocean shades is the CoverGirl Eye Enhancers 3 Kit Shadow in Blazing Blues.
2. Purples: You can try wearing purple or other bright colors just along the edge of the lid so it is not overwhelming. You can also apply with a wet brush, treating the eye shadow more like eye liner. In this video I've used CoverGirl Eye Enhancers Shadow in Purple.
3. Coppery red: You can wear a surprising color like this if blend carefully, shading the crease with a complementary darker shade, and a lighter shade on the brow bone.
4. Bright green: Be bold and try something fluorescent.
TIP: An eye-shadow primer first will make your shadow last.