Try and get a scarf with a little bit in the pattern with the exact shade of your eye. Some people with green eyes have tiny golden shafts in their eye when in bright light and the pupil is tiny. Accent these too.
Also yy to purple shades above and below the lid. Make sure also to use a good dark circle concealer - if you have dark circles!! Otherwise, it's just purple purple all the way.
I also have a green centre in my eye, with golden bits too, so I wear a lovely Rimmel grape colour, and also a eyeliner in dark grape from Clinique, and a Clinique black mascara (picky about eyeliner and mascara, as eyes water with cheaper ones).
I had a little set of four purple eye shadows from Chanel for my wedding- just after the last ice age.
I think they were called "The Planets" they were lovely, a pinky, a light mauve, darker reddish mauve and dark purple.
Mine lasted years and years, and was well worth the money.