No. Copyright does not have exemptions for obsolete works, use with credit, or non-commercial use. Depending on the purpose for the distribution, this could be fair use, but it is unlikely that a court will consider this fair use when the only reason is for other people to be able to play games.

Perhaps you could try contacting Adobe; it's possible that they will give you a license to distribute the Flash Player.

This isn't directly relevant to the legal aspect of copying Adobe's Flash Play, but to answer the underlying issue of legally playing Flash games, perhaps you/others could try Gnash, a libre reimplementation of Flash. I have not used it, but apparently Gnash can run some Flash software without using Adobe's player.

No. Copyright does not have exemptions for obsolete works, use with credit, or non-commercial use. Depending on the purpose for the distribution, this could be fair use, but it is unlikely that a court will consider this fair use when the only reason is for other people to be able to play games.

Perhaps you could try contacting Adobe; it's possible, albeit highly unlikely, that they will give you a license to distribute the Flash Player.

This isn't directly relevant to the legal aspect of copying Adobe's Flash Play, but to answer the underlying issue of legally playing Flash games, perhaps you/others could try Gnash, a libre reimplementation of Flash. I have not used it, but apparently Gnash can run some Flash software without using Adobe's player. (For future readers: Ruffle is probably a better choice than Gnash.)