http://www.archiveteam.org/index.php?title=Wget_with_WARC_ou...
http://www.archiveteam.org/index.php?title=The_WARC_Ecosyste...
http://www.archiveteam.org/index.php?title=Wget_with_WARC_ou...
http://www.archiveteam.org/index.php?title=The_WARC_Ecosyste...
Once you have the WARCs you can upload them to Archive.org and they can be added to the wayback, or you can set up your own service for browsing them, built off something like warc-proxy https://github.com/alard/warc-proxy (Yeah, same name different purpose...)
There is also a MITM version of WARCProxy that will let you store HTTPS sites: https://github.com/odie5533/WarcMITMProxy
http://www.archiveteam.org/index.php?title=Wget_with_WARC_ou...
This makes creating a browse-able mirror of a site in warc format fairly straightforward, as wget will automatically make links relative, as well as fetch requisite files (css, js, images) for each page.