I have yet to find a game that requires Adobe Air.
I have heard League of Legends requires Adobe Air for chatting.
Not sure why Adobe Air is doing updates for Creeper World 2, but you can definitely install it with PlayOnLinux by clicking Configure, then click Install Packages tab
You will find Adobe Air on the list
I also recommend trying a newer version of Wine.
You can do this with Tools, Wine Versions installer
Edited by booman