There are two lists of public web archives that are kept up to date with available and new archive sites.
Memento list:
http://labs.mementoweb.org/aggregator_config/archivelist.xml
Public Web Archives
https://github.com/webrecorder/public-web-archives
Public Web Archives is created by Ilya Kreymer former Wayback employee who now runs webrecorder.io - this list uses a new WAM format " .. to be readable by humans and processed by new and existing software tools" such that web archive sites can automatically be imported.