And some, if they are the right size and shape, you find lots of people riding them [but not me, of course.]
I have three examples of statues/displays out in the open. The first is something that I fell in love with when I was walking through the Vatican.

[Img src: http://www.flickr.com/photos/lionelarmanet/1324799862/]
And apparently this same figure, or one very similar exists somewhere in NYC.
[src: http://www.flickr.com/photos/gys/2071008950/]
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[Img src: http://www.flickr.com/photos/jensteenstra/2275685696/]
This statue creeped me out as a child. Looking at it now it is less creepy and more interesting. Looking at it I still see anorexic women. But it also looks like a celebration - freedom. I've always really liked it nevertheless.
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Now, possibly my favorite statue [well, in Ottawa anyway] is the larger than life spider "Maman" outside of the National Gallery of Canada.

[Img src: http://www.flickr.com/photos/kewima/29232446/]
I hate spiders, but really how can you not love this piece? You want to walk up to it, under it, around it, hug it - or some prefer to keep their distance. Sorry, I don't have any images available of people pretending that they are either being chased or attacked by the massive spider. But it happens - a lot. But not by me, of course... OK, maybe just once. Or twice.