I only use the term in reference to people that are attractive but not sexy, usually accompanied by certain types of outfits.
When the first description that comes to mind is 'cute', other things such as 'professional' or 'formidable' do not come to mind.
My working definition for other people's idea of cute involves things such as what Royal posted, especially the young animals.
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Actually, now that I think about it, it makes no sense to have a separate definition from the general use of the term. I think, perhaps, it would be more accurate to say that I do not find cute things attractive? Hmmm...