Zoo Keeper is an arcade game created by Taito Corporation in 1982. It began life as a slightly different game involving a crab trying to contain tadpole eggs, but the idea morphed into a zoo keeper attempting to return the escaped zoo animals back to their cages. It was one of the few American-designed games that Taito released (with Qix and Space Dungeon being two others).
In this game, Zeke the zoo keeper must control a menagerie of wild animals and keep them behind the walls of a zoo. The walls of the zoo are built beneath Zeke's feet as he moves around the outside of the zoo with one cage in the center. In early rounds, the wall is partially built when you start, but in later rounds, Zeke must build the wall from scratch.
Unfortunately, Zoo Keeper came out just before the video game market crashed in 1983, and it was never picked up for conversion to any home system. It finally came home for the first time in 2005, as part of the Taito Legends classic compilation.