To download an old version of an app, you'll need to find a reliable source, like a trusted website or forum. Be careful, though - not all sources are created equal, and you don't want to end up with a malware-ridden app on your hands. Once you've found a good source, just follow the instructions and you'll be playing with an old version of your app in no time.
The gameplay loop is pretty straightforward - just find the app you want, download the old version, and start playing. It's amazing how different some apps can be, even just a few versions back. You might be surprised at how much you missed the old way of doing things.