The best replacement for mod_ssl is openssl.

The best alternatives to mod_ssl are rated as following:
★★★★★  openssl
★★★  apache ssl
★★★  mod_nss
★  mod_gnutls

Your alternative for mod_ssl is not listed? Suggest!
Speaking about mod_ssl, one probably shouldn't forget about apache.

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



Google Trends

Scale is based on the average worldwide traffic of mod_ssl in all years. Click on graph for more.
mod_ssl
openssl
apache ssl