Since I'm a brown eyed girl and it makes up most of the population, I thought I would offer some information.
There are several make up brands that offer eye color specific make up. Although Almay is the only one I have used myself. So my information is limited.
Almay offers shadows, liners, and mascara for eye color specifics.
A girl who I get a lot of information from has put together a great list of tips for this topic.
Make Up Geekhttp://www.makeupgeek.com/tutorials/how-to-make-brown-eyes-pop/
The article: 6 Most Flattering Make Ip Colors for Brown Eyes
-Navy Shadow and Liner
This article has a lot of brand and product specific information as well.
With all of this I am not saying that you have to go out and buy certain make up items to show off your brown eyes. I'm only providing information that I have found doing a little research.
I think pairing the right color combinations is the best way to show off your beautiful brown eyes. Here are a few combinations I found on Pintrest. (All photos are found on Pintrest and were pulled from Pintrest)
These are only a few photos that I have posted. If you search you will find a ton of information and guides.
If you found this information useful please let me know. I would love to hear feedback.