A public link does not establish that the publisher authorised redistribution of the original game. A repository does not establish it either: a code licence covers the code, and the original art, audio and maps are licensed separately, if at all.
Be wary of modified installers, sites claiming to be official without evidence, and any page that promises the entire commercial game for free. We do not declare any third-party site safe or unsafe — we cannot audit them. What each listing here does instead is disclose the project's source, how you get in, and whether we could confirm a source at all.
That is also why one project in the list has no link. Where we could not confirm a project's own address, we left it unlinked rather than guessing at one.
Opens at the project's site
Opens at the project's own site. A public link or a public repository does not license the original game's art, audio or maps, and it does not mean the publisher authorised redistribution.
Needs game files you own
This is an engine, not a game: it runs content from game files you already own. Its source licence covers the engine only and says nothing about the rights to that content.