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Oh wow Jeff I disagree on so many levels. TL;DR version below.

The two points you bring are:

  1. They are not useful for anyone else
  2. They are too localized

Regarding (1), I would first say - since when are questions required to be useful for other people? There are gazillion stackoverflow questions requesting help with doing something so specific that it's ridiculously unlikely that anyone else will ever actively search for that problem. If you say "only questions useful for other people are permitted", not only do you make the SE sites a lot less user-friendly, you also introduce a metric which is impossible to measure - how can we say if that question will ever be useful for anyone else?

Secondly, I would assert these questions are actually far from useless, for the simple reason someone else might want to search for the same games, and that someone will likely use the same search keywords as what the question contains. I have personally searched for games I have forgot using various keywords about their genre, era, gameplay and appearance - if similar questions were on gaming.SE then I would have probably found them there.

Regarding (2), I'm not sure I understand why you consider them localized. Is it because the user is trying to remember something that happened in the past? What's wrong with that? That seems to me completely unrelated to the localized close reason:

This question would only be relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet.

In 30 years from now on the moon colony, this question would be as valid as it is now - trying to identify an old game based on some remembered information. If something will be relevant in 30 years on the moon colony, I don't see how it can be called localized.

In addition, one of the biggest reasons I see for allowing - if not encouraging - these questions, is the fact that SE sites are uniquely qualified to answer them - they are probably one of the few places online that try to build a repository not of general data but of personal questions. Having SE sites one of the few places where these questions are usefully answered will give those sites an edge over anywhere else. "Want to find information about that old game? That's a tough thing to accomplish! Go to gaming.SE, that's probably the only place they will be able to help you".

Finally, I think these questions are equally useful for other sites. Say there's a new bike with triple-suspension system and flowing optic fiber wheels* going around in conventions. The question "can someone identify this cool glowing 3-suspension bike?" will not be useful for others users, it will probably get a lot of off-site views as well. True, it's an example of a current item, but (1) you also said questions of "identify this {item}" are bad and (2) questions like "I used to ride this cool 3-suspension glowing bikes when I was little" are likely to become popular and useful as well, if these convention was actually 20 years ago.

*can you tell I know nothing about bikes? :)


TL;DR

Reading your comments on other questions, I get a feeling your problem is less with the usefulness to others and more with the fact that people are asking less on concrete problems and more simply about things they can't remember, but what I'm trying to say is

  1. We are uniquely qualified to answer these questions
  2. These questions might indeed be useful to other people - potentially many other people
  3. There's no real reason I see for forbidding these questions, there are as valid as any other question