I agree with relentlessflame that it's not entirely clear what you mean when you say "identifiable."
From a purely aesthetic standpoint, character and costume designs are what tend to do it. That's what allows you to pick out a series reference in a parody or in fanart.
Otherwise, there's usually something about a series that endears it to people. It could be the storyline, it could be a whacky or trademark character in the series. I tend to remember series by those traits.
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