I notice sometimes that games I have had for awhile are not listed in my list of Gamecenter games - yet sometimes I see others with that game listed in the games we don't have in common. I wonder why that is? I can see it if the game never had Gamecenter and it finally got it but I didn't check the game after the update - but why would games already with it not be listed? Does every Gamecenter update require you to open up the game to keep the game on your current list? Hope this made sense.
Yes, the first time - but why after that do they sometimes not show up? Is it because Gamecenter itself was updated, or do you need to click on each game once after every update to keep it in the list?
I think after a game updates, you may want to open it again. Oh and also, in some occasions if you delete a app, it tells you if you'd like to keep Game Center achievements, so that may be it.
These are all apps I currently have on one or both of my devices, not deleted. It is probably due to updating the apps and not playing them since the last update of whatever app it is, even if the app already had Gamecenter.
Updates aren't going to remove the game off the list. The only time this should happen is after 6 months of not letting a game connect to GC. It's automatically deleted off the list then until you connect to GC within the game again.
Hm, that could be it - though I didn"t think that it was six months or more since I played some of these games.
Did it always say "Welcome Back" when you played those games? If it didn't properly connect to GC, it didn't count as playing it. I don't know what else it could be.