The best replacement for php-fpm is mod_php.

The best alternatives to php-fpm are rated as following:
★★★★★  mod_php
★★★★  hhvm
★★★★  fcgi
★★★  php-cgi
★★★  suphp
★★  uwsgi
★  spawn-fcgi
★  mod_fcgid

Your alternative for php-fpm is not listed? Suggest!
Speaking about php-fpm, one probably shouldn't forget about apc.

Other search terms related to php-fpm and their ratings are:
★★★★★ apc
★★ apache
★ nginx
You have in mind a companion for php-fpm and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of php-fpm in all years. Click on graph for more.
php-fpm
mod_php
hhvm