There are three different storylines for Rugrats: Scavenger Hunt, one for each "level".
Angelica's Temple of Gloom - Stu brings home a couple of Aztec statues to show everyone, but unfortunately they break and the babies must find the pieces of their statues before Angelica finds hers'.
Pirate Treasure Hunt - The babies accidently lose jewelry inside an aquarium.
Reptar Rally - Phil and Lil are seen fighting over a Reptar and accidently knock over a cup of juice and decide to visit Reptar to collect snacks.
In a typical board game setting, each baby takes a turn by spinning a "rattle-wheel" labeled 1-6. They move according to their number picked, and when they land on a space, a event occurs (such as earning cookies or taking a nap). Each baby has a "sleep meter" (30) which goes down every time they take a step, and once they run out, they are forced to take a nap. Babies collect "Cookies" as their main currency, which is used to buy things, or pay Angelica, whichever one comes first. In Temple of Gloom and Pirate Treasure Hunt, the babies have to find statue pieces and jewelry (respectively) by landing on a magnifying glass square and searching the surrounding background objects. In Reptar Rally, the babies instead have to collect all their required snacks, in 5, 10, and 15 increments by visiting the island of fellow babies.