Mailman is an open-source web application for managing mailing lists. It allows users to create, manage, and send emails to a large number of recipients. Mailman provides features such as subscription to mailing lists, moderation of messages, archiving of messages, and automatic bounce processing. It also provides an easy-to-use web interface which makes managing mailing lists easier. Mailman is available for multiple operating systems and works with a variety of popular email programs.
PHPList is primarily for sending email newsletters, it is not a mailing list with an archive.
MailerLite is only for the email list (one way email) not for the group email (two ways).