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