Might sound like a trivial question but would you please show me some examples of real systems conforming the Lorenz Attractor?
It can be any kind of system, just a little list. It can be a system arising from Economical, Social, Biological or Physical matters.
The chaotic waterwheel! It was literately build to physically realise the Lorenz equations (see DIY version and Harvard version). A nice discussion about it can be found in the book by Strogatz.