In my experience, none of my previous partners resembled each other nor had the same personality... but it was always their personalities I fell for first. Never their looks. If there was a particular thing I seem to gravitate towards, it's a sense of humor. I love to laugh, as Amy likes to point out so much.
I don't believe any of them were like my parents, to be honest. Not even my current partner. I don't think that I particularly look for qualities in them that are comparable to either of my parents, so I can't say I purposely look for or against those qualities, or have an explanation for why that is.