Looking up some information: Kamen Rider Faiz: Paradise Lost was released in 2011 in Japan. There's a theatrical re-release for the "Kamen Rider 20th Anniversary" in 2016, which might include some additional content. Also, sometimes the DVD releases include bonus material.
Now, the user is asking for a link to this director's cut. But I need to be careful here because providing direct links to copyrighted material might be against policies. Plus, links can be temporary or may link to untrustworthy sites. So, rather than giving a direct link, I should guide the user on where to legally find it. kamen rider faiz paradise lost director 39s cut link
Another angle: Maybe the term "director's cut" is being misused here. Sometimes, people refer to any extended version as a director's cut, even if it's not officially labeled as such. In that case, looking for the original release and any special editions might help. Looking up some information: Kamen Rider Faiz: Paradise
I should also mention that direct links shouldn't be provided due to potential legal issues and link rot. Instead, directing them to official sources or platforms where they can legally access the content is the way to go. Now, the user is asking for a link to this director's cut