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
Eat 500 fish
Destroy 10 hot dog stands
Destroy 10 balloon stands
Play as a polar bear
Play as a rhino
Run over 250 zookeeper
Play as a tiger
Play as a phyton
Destroy 15 toilets
Play as a reindeer
Shoot 25 goals
Run over 500 visitors
Play as a crocodile
Eat 250 fish
Play as a snow tiger
Play as a giraffe
Finish all levels
Finish the "Free Fish" level
Start the "Free Fish" level
Finish the "Soccer Match" level
Start the "Soccer Match" level
Finish the "No Escape" level
Start the "No Escape" level
Finish the "Outbreak" level
Destroy 15 trees
Start the "Outbreak" level
Play as an elephant
Finish the "Arctic" level
Start the "Arctic" level
Play as a penguin
Destroy 5 gas tanks
Finish the "Jungle" level
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