This might sound strange but I don't feel like I want to replay most newer games (I'll come to exceptions in the end).
But I do not have a problem with replaying older games. And for me there is a pretty defined border for when I started to feel that most games lack replay value and that is around 2001. I think the oldest game I feel like I could pick up and replay is Morrowind.
Games before this from 8-bit and 16-bit console era I have no problems with picking up and playing again. Same with PC 1st person games like for example Doom, Doom 2, Duke 3D, Quake, Unreal etc.
I just feel there is too much bloat and in most cases too much focus on "storytelling" and not enough on actual gameplay in newer games. But I do still enjoy a lot of newer games. But one play through is enough.
The exception to this is for me games like Stellaris, Civilization (even modern incarnations), X-Com Enemy Unknown/Within they have endless replayability. But this is in part because no play trough is exactly like the previous. And of course online games also have replayability.
EDIT:// I also see the irony in me calling for example Stellaris (2016) and X-COM EU/EW (2012) "new" games in this thread :P
