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Titling
It does not matter whether a release of a game owns the same title like the original.
Time of release
It does not matter if a port of a game was released 10 months after the original, or 10 years after it.
Cosmetics (graphics and sound)
Cosmetical changes do not matter, otherwise every remake would be a new game when it is not.
License
It does not matter if the new release owns an official license or not.
Involved companies
It does not matter which companies developed or published the new release.
Things that count pro a different game (Pros)
Major pros
Minor Pros
- The new release is marketed as a new game, no word about an already existing release.
Things that count against a different game (Cons)
Major Cons
- The new release is marketed as an update / remake / port of an already existing release.