Well if you like unnatural, you could always consider dying just part of your hair - highlights, just the underneath, or just the ends, etc. If you did that, you would wanna pick something that also goes with your hair color. Since you have green eyes, you could try a bright green to bring them out. If you think that's too much, I would also recommend an aqua color. Your color hair (dirty blondish? from what I can see) usually goes well with a bright red or pink as well. I generally tend to think that if you dye only part of your hair, you can pull of any color! Like, my hair is almost your color and I'm gonna try purple!

So there you go... hope that helps!

God Bless :)