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