Darkforestwarrior
I know kits also like to play moss-ball (probably just tossing around a little ball of moss, no special rules or anything) and idk if it counts as a game but they also like badger rides (basically piggy back rides haha). And of course any kit in any setting is almost certain to have some form of role play (hilarious if you are role playing a kit that is role playing)
I am not sure what sort of more organized types of games clan cats might play (heck, it would be interesting to me if grown cats had more organized games while kits made up their own silly games) All of this would undoubtedly promote good warrior skills like reaction time, flexibility, teamwork, etc.