If you are interested in Animals and Nature in Manchester the options are a little bit limited due to the lack of green space, infact you may find it better to look outside Manchester to nearby attractions such as Chester Zoo. If you are still keen to find something in Manchester you could try:
The Heaton Park Animal Centre / Farm Centre Courtyard is a great place to take the kids. You can meet many commnon farmyard animals as well as more exotic species such as alpacas. The animal centre also has a number of rabbits, guinea pigs and poultry. There is also a small themed play area in the Animal Centre. Larger animals, such as Highland horned cattle and donkeys are also homed at the centre, although petting is strictly limited.