nginx is free and reliable, I’ve set it up for http, tcp, and udp proxies
There is too much demand for this to exist for more than a blink of the eye. Any public proxy you find will either cost money, exploit your traffic to make money, or be too overloaded to be reliable.
However, some cafes and public libraries offer anonymous wifi, so if you don’t use a lot of bandwidth, they might be worth trying.
There is also Tor.
You could self host one
Conceptually, if the thought is to hide traffic, self hosting doesn’t add anything, unless you make it public (which I wouldn’t) and have multiple people using it.
I think in this case “self host” would be on a VPS, not at home. But you definitely would want to lock it down so it was open to the public.
What you need to do? Would a VPN work for you too?
Squid? Nginx? Not sure I understand the full scope of the question though
Privoxy maybe
