Here is the full list of all 45 Zoo Rampage achievements.
Run over 2500 zookeeper
Run over 5000 visitor
Eat 500 fish
Eat 250 fish
Finish all levels
Finish the "Free Fish" level
Start the "Free Fish" level
Shoot 50 goals
Shoot 25 goals
Finish the "Soccer Match" level
Start the "Soccer Match" level
Finish the "No Escape" level
Start the "No Escape" level
Run over 2500 visitors
Finish the "Outbreak" level
Start the "Outbreak" level
Finish the "Arctic" level
Play as a reindeer
Play as a penguin
Start the "Arctic" level
Play as a polar bear
Play as a snow tiger
Finish the "Jungle" level
Run over 250 zookeeper
Destroy 10 balloon stands
Play as a phyton
Run over 500 visitors
Destroy 10 hot dog stands
Play as a crocodile
Play as a tiger
Start the "Jungle" level
Play as a gorilla
Finish the "Africa" level
Finish any destruction level
Destroy 5 gas tanks
Destroy 15 toilets
Destroy 15 trees
Play as a rhino
Get over 9000 points
Play as a giraffe
Scare 50 visitor
Play as a zebra
Run over 10 visitors
Start the "Africa" level
Play as an elephant