When I look on these online dating sites, I noticed the women (I only search for 'white / caucasian') are quite often brown eyed.  To the extent, I have to use a filter to select blue and green eyes.  This can be more efficient, because sometimes these sites can be glitchy and women who are 'white' won't return on the results.

I think women with blue eyes are more likely to be in a relationship.  Although – this could instead be the result of demographics (70% are British-French in descent).  Nevertheless, it seems blue eyes are quite appreciated.