Hair Bear suggests to Mr. Peevly to hold a raffle in order to obtain money for new stuff for the zoo. When Hair Bear wins, he ends up having ownership of the zoo and sees how hard it is to run the zoo and fill out the needs of the other animals. When Hair Bear learns that Mr. Peevly has been playing him, Hair Bear ends up sneaking the other animals out of the zoo.
The Hair Bear Bunch apply for an ad for adventure and fame when it comes a space expedition to Mars sponsored by Professor Nielsen Rockabuilt. Mr. Peevly and Botch end up stowing away and end up landing on an alien planet of Turulia where the Turulians there elect Mr. Peevly as their new leader. While in the alien's dungeons, the Hair Bear Bunch learn that the aliens elect a new leader every day while the old one gets imprisoned in a glass cage.
Following a drawing from the Suggestion Box, Mr. Peevly puts on a play on Noah's Ark with the zoo animals. Later that night, Hair Bear secretly places wheels on the Ark and pilots the Ark all the way to Pleasure Island when they planned to go to a deserted island. To gain money, they disguise Zeed the Zebra a horse and enter a horse race.
When Mr. Peevly wants the animals to build him a swimming pool, the Hair Bear Bunch finds a treasure map in one of the trees which leads to the treasure of Redbeard which had been stolen from Ptomania. They follow the map to the end point to Mr. Peevly's office and try different ways to get to the treasure below.
While hiding from Mr. Peevly and Botch in the woods when trying to get to the carnival, the Hair Bear Bunch find a baby panda named Percy whose cage fell off a passing train bound for the St. Louis Zoo. Mr. Peevly has the Hair Bear Bunch watch over Percy Panda until the Zoo Superintendent comes to pick Percy up and bring him to the St. Louis Zoo.
Hair Bear has Square Bear fake an injury to have the Hair Bear Bunch evade being sent to the National Forest. Mr. Peevly ends up allowing Square Bear to recuperate at his house to evade getting into trouble with the Zoo Superintendent. Mr. Peevly vows to find a way to expose the fact that Square Bear is faking.