Kobe zoo is located at Oji. You can go there by the Hankyu Kobe Line. It is quite simple: you should get out at the station decorated with giant pandas :p
Beside a great collection of animals and birds that you can find in almost all zoo (elephants, giraffes, rhinoceros, seals...), they have beautiful koalas, white bears, and a great nocturnal animals gallery. Above all the most famous inhabitants of Oji zoo are the giant pandas.