If an older game (or a more recent game, for that matter) is entertaining, but does not grip me the way a small handful of games can do, then I will happily play it, possibly finish it... and just move on, probably never think about playing it again, sometimes give them away, etc.
I am actually the same way with books - there are certain books I re-read periodically because I just love them. Not every few months of course, but every couple of years. And I enjoy the story so much, that I love going through it again. Not a lot of books do that for me, but the ones that do... same with games - I love going back to them, even if its only for a little while.