I (playing on PS4) wanted to ask what the differences are. For example (as far as I know) there's no bestrarium and so I can't get a zoologist and therefore no pets. What other differences are there?
The only difference between the PC and console version is that the console version is still 1.3 and the PC has the latest update (1.4). There are a lot of things different between the two versions. From world generation to new mobs / bosses and more than 1000 new items and other little things.
Don't worry, the 1.4 update will also come to consoles, this has been confirmed, it will take a while.