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