My mom always used Vaseline and I did as a teen, but it gave me milia around my eyes (those little pearl-like cysts). I use Almay eye makeup remover and like it.
My mom used a little bit of Vaseline as her eye cream. Just a little bit, and while it didn't do squat for wrinkles, but she had the softest skin around her eyes. Every time I see a jar of Vaseline I think of my mom. She would have loved those little mini portable jars they make now. She would have had one in every purse.