WaybackProxy

WaybackProxy is a HTTP proxy that sends all requests through the Internet Archive Wayback Machine and OoCities, returning the original antique-browser-friendly markup.

Setup

Edit config.py to your liking
Start waybackproxy.py
Set your antique browser to use a HTTP proxy at the IP and port WaybackProxy is listening on
Try it out! You can edit most settings that are in config.py by browsing to http://web.archive.org while on the proxy, although you must edit config.py to make them permanent.
Press Ctrl+C to stop

Limitations

The Wayback Machine itself. For one, sometimes archived pages lack random images for no reason at all.
302 redirects are handled using a meta refresh hack, as Wayback sends them as regular pages.
WaybackProxy is not an all-around proxy. The POST and CONNECT methods are not implemented.