Kodi's airplay doesn't work. Is there a way to get kodi's airplay working with iOS 8+? If it's not possible with kodi, is there another good alternative for iOS 8+?
Yes and/or no.
Yes, there is a good solution for streaming sound over AirPlay with shairport-sync. You don't need Kodi for that.
No, there is still no good solution for video streaming. :(