Webrecorder creator, LIL fellow and Rhizome collaborator Ilya Kremer has recently created a machine-readable list of public archiving services on GitHub: https://github.com/webrecorder/public-web-archives.
The purpose of this is to “highlight, and help promote the sizable (and growing list!) of publicly accessible web archives all over the world, in a distributed and democratic way,’ as well as “to encourage interoperability and interconnectedness between different web archives.” In other words, both let people know about the range of archives and archiving services out there, and to encourage partnership between the archiving services (such as is found in the Memento framework).
Thanks Ilya! Be sure to check out his Perma-included list on GitHub!