Stuff White People Like has a comprehensive discussion of postmodern tattoos. Besides the ones they list, the only other cases of postmodern ink I’m aware of are the to-do list:

And then of course Steve-O has the world’s largest gallery of postmodern tattoos:

When I was shopping for a tattoo I considered getting something postmodern. In fact, I found my artist by Googling “postmodern tattoos”. I ended up getting a crafted (and therefore authentic), late-modern piece that is both abstract-minimalist and concrete-organic. And now that I write about it, it occurs to me that I need to work on the multiplicity of narratives surrounding it… (do you see what I did there?)