I’ve seen many announced but I don’t know which ones are actually free and publicly accessible through a website. For example there was a russian one called Gigachat and a chinese one by alibaba but I don’t know where to find them. There is ChatSonic but it’s limited so not the kind of option I’m looking for.
By “free” do you mean free to use? If so, https://chat.lmsys.org/ has a pretty good selection as long as you’re okay with the site licensing your conversation CC-BY. If you mean free as in FOSS, take a look at MPT-7B and its derivatives as well as OpenLLaMA; these can all be run locally.