There's a very large park in Warrington, the grounds of the former home of the Greenalls (Lord Daresbury), that has a Pets' Corner. There are various fowls, rabbits, guinea pigs, and a few deer, sheep and goats and a couple of ponies. All the animals are in fenced off enclosures so they can be stroked through the fences but can't harm anyone. Children are sometimes, by invitation only - you have to ask in advance, allowed in the enclosures with the keepers to feed the animals and muck them out. It's very well supervised so nobody gets hurt and nobody hurts the animals. It's worked well for about the last 20 years.
