Actually, OAndBackup does save app data (i.e. settings, game data, …) in addition to the app itself - just like Titanium does. You only need to tell it to. In addition to that I recommend to back up calendars and contacts separately because a slight change in the preinstalled apps that save those data can cause problems when restoring.
Note, however, that you need busybox which is not installed by default, neither on LOS unofficial nor on LOS official nor on FPOpenOS (and probably also not in FPOS). A little more on this issue can be found here.