Sadly i am experiencing the same problem. Whenever i interact with any of the animals, the game crashes to desktop. However that was not the case in the first 2 ingame days and currently i am on my 4th. All my playtime was today (23.11.2013). Hope that helps :).
Yes, indeed, I started over a new game, and this only starts to happen day 3-4'ish. Thanks for pointing that out.