It\'s possible to do interesting things with what would ordinarily be thought of as typesetting languages. For example, you can construct the Mandelbrot set using postscript.
The pgfmath library still amazes me. But on a more Turing-related note: it is possible to write an actual Turing machine in TeX, as per http://en.literateprograms.org/Turing_machine_simulator_(LaTeX). It's just a nifty way of using expansions in TeX.
PostScript is Turing complete as well, if you'll read the manual you'll be amazed by the general programming capabilities of it (at least, I was).