I'll start with the exotics:
Barbary Sheep, North Anerican River Otter (always referred to as Canadian Otter), Sun Bear, Scarlet Macaw, Blue & Yellow Macaw, Emerald Dove, White-crested Laughingthrush, White-throated Laughingthrush.
European Beaver, Suslik, Wild European Rabbit, Brown Hare, Coypu (introduced species, since extirpated in the wild in UK), Beech Marten, Wolverine, European Lynx, Wildcat, Grey Seal, Common Seal, Red Fox, Arctic Fox, Brown Bear, Iberian Wolf, Wild Boar, Red Deer, Roe Deer, Fallow Deer, Reindeer, Mouflon, Ibex, European Bison, European Spoonbill, Greater Flamingo, Night Heron, Grey Heron, White Stork, Black-winged Stilt, Oystercatcher, Curlew, Stone Curlew, Lapwing, Red-legged Partridge, Snowy Owl, European Eagle Owl, Little Owl, Barn Owl, European Scops Owl, Tengmalm's Owl, Raven, Alpine Chough, Azure-winged Magpie, Wheatear, Goldfinch, Redstart, Turtle Dove, Collared Dove. These are the ones I can definitely recall. There were of course others. I've not touched on the extensive pheasant and waterfowl collections.
Philip Wayre was of course the inventor of the term 'Wildlife Park'.