Apache o nginx for webserver

I'll always put Nginx above Apache in terms of security, performance, resource demand, and flexibility.

However if you want a strange 3rd option that isn't Apache or Nginx then I could recommend OpenResty which mixes Nginx with LuaJIT.

The only server I know that uses OpenResty is PornHub, so there's that.

I wouldn't recommend lighttpd, caddy, IIS, or any of those ghastly NodeJS servers.