Hey ! Thanks for playing our game ! You can get up to day 4 or 5 but it gets very hard due to the escalating theme. The animals wont die but hunger that is too low will detract from happiness , so the most important thing is to house the animals as being homeless is a big drain on their happy meter.
These are all the animals we could cram in to the game we only did it in 2 days not the full 5 so its what we could do, in the future we would consider adding a lot more variety and other mechanics :)
Also quick tip to house more animals, you can shift click to place multiple building of the same type !