Whenever I had been interested in someone (prior to being married), ever since I can remember, the LAST thing I could do was make eye contact with them. In fact, a lot of times I would simply avoid them altogether (though I hated it and wished I could feel comfortable being near them).
For example - I remember being extremely interested and attracted to someone I worked with and was very inspired by. I had thousands upon thousands of topics I'd like to discuss with him, and thousands of things I wanted to know about him (special interest much? haha) so I would specifically go places I knew he would be, attend events, etc. just hoping for that opportunity, but when I would see him my eyes would go elsewhere and my body would too. Then I would be so angry with myself afterward wishing I had taken the opportunities I had to engage in a conversation, and especially give a little eye contact (I still live in regret about it, to be honest).
I still don't have a clue as to how to flirt, but when I've asked people how to or looked it up online, the first item given is eye contact. Noooooo!