This is my list of games worth playing on iOS. Every game can be played offline, and none of these games offer in-app purchases that can be repeatedly purchased.
The games are grouped by features. Hovering over a particular game will show the full set of features that game supports. Here is the key describing what each feature icon means:
|🖥||Apple TV Support|
|☁||Cloud Sync Support|
|🎮||MFI Game Pad Support|
|🏁||Game has a defined end (not an arcade game)|
|🗺||Game has a "world" (as opposed to a menu of levels to choose from). Note: I include rogue-likes in this category.|
|👥||Game supports multiplayer (local or network)|