Hey there, thanks for the feedback!
To access the Genetics Lab, you'll need to first place a nursery in the park to "breed" animals!
Nurseries can be found in the Park Infrastructure Tab along the bottom of the in-game screen. You can select a pre-made nursery, or place one of the modules down to create your own. (To breed the biggest animals, you'll need the large nursery!)
Here's a great video by MrsTeaRex on how to unlock animals:
https://www.youtube.com/watch?v=kwJtDw4beMIAfter some feedback when we launched Early Acces...
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