Nginx not started, homebrew says it is
Because nginx is going to start at port 80, it needs to be root. LaunchAgents are run as non-root user when that user logs in. LaunchDaemons are loaded at boot as root user.
launchctl unload ~/Library/LaunchAgents/homebrew.mxcl.nginx.plist
Move the homebrew.mxcl.nginx.plist
sudo mv ~/Library/LaunchAgents/homebrew.mxcl.nginx.plist /Library/LaunchDaemons/
Load the plist from the LaunchDaemons folder
sudo launchctl load -w /Library/LaunchDaemons/homebrew.mxcl.nginx.plist
Now, sudo brew services list
shows a running nginx process
Name Status User Plistnginx started root /Library/LaunchDaemons/homebrew.mxcl.nginx.plist
Running brew services list
without root will result in an error status, because you need to be root to read the status.