I don't think penguin has a bird fetish it's a nickname he earned along the way he made after Fish Moonie Punished him at the first episodes when these 2 people gave him a ride and he took them hostage they told him that he is like a penguin because of how he walks
I think Penguin is much more cooler on Gotham rather than the games cuz in the games he is a kingpin but on gotham he is more cooler :D