Canvassing the Internet: Platonic Admiration

I know I was behind the door when hormones were handed out, but surely I am not the only one who finds it possible to respect and admire someone – or even just like a fictional character – without being sexually attracted to them. In high school the response to a statement of such admiration was usually full of conspiratorial innuendo, accompanied by a virtual 'wink wink nudge nudge.' I thought that when I joined the grownup world that mindset had been left behind, but I've encountered it a few times recently and it's got me wondering. Anyone out there know what I'm talking about? Opinions? Insights? Observations? Advice, even?