Here is the full list of all 38 Planet Zoo achievements.
All campaign levels completed to a gold standard on hard difficulty
All campaign levels completed to a silver standard on hard difficulty
All campaign levels completed to a bronze standard on hard difficulty
Complete the Zoopedia
Have two different breeds of Elephant born in your Zoo
Open a zoo on every continent
Open a zoo in every biome
Open 25 Franchise zoos
Complete all campaign levels to a gold standard
Build a habitat with 30 animals in it that all have welfare over 75%
Complete all campaign levels to a silver standard
Complete all campaign levels to a bronze standard
Have a Juvenile Lion be born in a Zoo containing at least 10 species
Release 20 critically endangered animals to the wild
Repay $50,000 in loans
Adopt the retiring Indian Elephants in Scenario 7
Build 10km of barrier
Have an albino breed
Have an animal in your zoo with a genetic makeup of over 90% in all categories
Take part in a community challenge
Build 1km of a tracked ride
Achieve an Education Rating of 5 Stars
Have at least 3 Keepers, each with a different roster
Complete the research on one animal in Franchise mode
Open your first Franchise zoo
Fully train a member of staff
Have 73 baby animals born
Place 25 different Enrichment Items
Enable all enrichment items in an exhibit
Release your first animal
Have your first baby animal born in your zoo
Have an animal reach a 5 star Animal Rating
Gain a gold award in career mode
Gain a silver award in career mode
Have a Lion, a Tiger and a Bear in your Zoo at any one time
Gain a bronze award in career mode
Adopt your first animal
Create your avatar and place them on the globe