Questions about the edition

The edition field is rather free form, therefore discrepancies often occur.
In my opinion both discs have a wrong edition.
Since both seem to be covermounts (although I can't comprehend Japanese), they should probably just be the "original" edition.

Where did you find reprint? It seems to be worded rather strangely for this site.

But finding such discrepancies or strange editions / names is probably something you will sadly have to live with.
E. g. I recently came across the "BestSeller Series" editions of some Blizzard games and someone entered Diablo II as "BestSeller Series (2nd edition)", although that does not make much sense. There is just one edition of those Bestseller Series titles.
And then there are titles like "Quake III Arena", which is named "Quake III: Arena" in the database.
It would probably cause too much work for you and the responsible moderator, to write a fix request for everything that is unfitting.

I think "Covermount" is a mod's (Lizard) mistake.

Rerelease is used when the game was released again with a different serial/barcode/packaging and there's no proper name for the new release (no "capcolle", no "value", etc.). For example, http://redump.org/disc/37395/ vs. http://redump.org/disc/37302/

Reprint is a very special case when the game was printed again with the same serials and covers but with different contents and the releases are somehow distinguishable. For example, http://redump.org/disc/10368/ vs. http://redump.org/disc/60391/ (back cover text and CD label changes) or http://redump.org/disc/5364/ vs. http://redump.org/disc/75024/ (CD label changes) or http://redump.org/disc/60904/ vs. http://redump.org/disc/37047/ (CD label changes; probably a bootleg, but can't be said for sure).

No one ever used "Bundled with Magazine" in PC or MAC datfiles (in the recent history, at least). And fuzzball itself submitted all the Maclife/MacPeople/MacUser discs with the Covermount tag. Why this should be my mistake? I feel like Bart Simpson sometimes.  https://www.youtube.com/watch?v=37nwLhIA1zs
That's not something i've just invented, i mean, there's even a Wikipedia page on it. https://en.wikipedia.org/wiki/Covermount

To be honest after reading this clear description "Bundled with Magazine" seems to be just a fancy way to say the exact same thing...

I'm not sure what happened there with the BestSeller Series (2nd edition), maybe it was used because it's a second print run with a different disc or barcode? It's not uncommon to have different discs for the same "edition", BestSeller Series in this particular case. In regards of the Quake III Arena, i agree that we can rename that, but i've seen different references to Quake III Arena or Quake III: Arena in a lot of websites. Going by the name on Steam and what's written on the cover i would be honestly remove the two dots.

In fact, the difference is not big. From the point of view of writing logic, a colon is necessary. Remember the Lord of the Rings trilogy. There, the second part of the name is written after the colon.

Probably.

What's about the ones that came with the books? Also "covermount"? And how to distinct the ones that came with the books from the ones that came with the magazines, if so? Magazines are periodical, books are single-time releases, there's quite a big difference.

Because it is your duty as a mod to verify all the fields before accepting, any mistake is your mistake

It is an ideal, not a realistic. First, the rules do not exists.

Is there a reason to distinguish guide books from other books? The reason to separate book discs and magazine discs is the book discs are usually either tied to the book contents or contain standalone game demos, while the magazine discs are usually demo + multimedia + free software compilations (we even have a "coverdiscs" category for them, because it's like a unique "genre"). Some magazine CDs also had complete retail games on them, while I don't remember any books with retail games included (except the cases when the book comes as a bonus to the boxed retail game itself, but it's a different story).