We played infinite variations of this game when I was a member or leader at our youth movement in Belgium. (I don't think such a thing exists in the US?)
Some examples:
A battleship variant: each team first their his ships in a battleship field. Then, when a player can reach the other team's camp without getting tagged, they can shoot one shot into the field of the other team.
A Stratego variant: every team gets his own stack of cards which represent the different players of Stratego, the board game. Players take a card before leaving their camp. If they are tagged, or tag someone, they show their card to the other person. The winner according to the Stratego rules wins the card of the other person, and the loser must go back to their camp for another card.
Some examples:
A battleship variant: each team first their his ships in a battleship field. Then, when a player can reach the other team's camp without getting tagged, they can shoot one shot into the field of the other team.
A Stratego variant: every team gets his own stack of cards which represent the different players of Stratego, the board game. Players take a card before leaving their camp. If they are tagged, or tag someone, they show their card to the other person. The winner according to the Stratego rules wins the card of the other person, and the loser must go back to their camp for another card.
Some more games with paint, animal cards, ...
Lot of good memories from that time.