All logs from the Goko and MakingFun era were hosted on Amazon S3. As far as I know, no one did a bulk download of those games when the site shut down, so those logs are gone forever.
Shuffle IT has game logs, but doesn't save them in raw text, they're saved in a different format (my understanding is that this is part of how the replay system is implemented).
I really wish Shuffle IT exported the raw text logs somewhere, but I'm guessing it's pretty low on priority.
Some projects have direct access to the Shuffle IT database. DomBot on the Dominion Discord is one of those projects. However, I think there's a special agreement between Stef and Cave-o-Sapien for how that works. You could try
http://forum.dominionstrategy.com/index.php?topic=18336.0 but I'm not sure how up to date it is, might have broken with Menagerie's release.