Any of Friendica , Hubzilla, and streams provides a somewhat Facebook like experience. Smithereen is an alternative of VK - the Russian Facebook. Diaspora is kind of a hybrid Facebook/Twitter experience, but leaning solidly towards the Facebook side. There are other fediverse attempts to convey this experience; but I am unable to comment on their abilities or current state.
You may not find an “accurate” Facebook-like experience because we left that world behind 13 years ago and these projects have evolved in completely different ways, unconstrained by expectations to be like somebody/anybody else. We’re continuing on with how the web might have evolved if Facebook never existed and thwarted innovation in this space.
We have an interoperable standard (ActivityStreams) and also a standard for single sign-on (OpenWebAuth - built on fediverse technology) which has been ported recently to Pixelfed and Mastodon. If you connect to my streams channel over OpenWebAuth and I grant you permission, you can write on my wall and comment on my posts and view private photos and videos I’ve shared with you- just like Facebook and no matter that we’re hosted on different instances. We have events and groups and media libraries and pages and everything else that Facebook users expect - and a lot of completely new features that they never knew were possible - such as fully nomadic identity.