There are soooo many jobs that include working with animals! A young lady I know has a degree in marine biology. She trains dolphins for the US Navy.
We recently met a young woman who works at the National Eagle Center in Minnesota. She helps train and care for injured eagles and travels around giving presentations with the eagles. Previous to working there she worked at a nature center with rehabilitation. She said her favorite animal to work with was the porcupine. There is also centers for owls, wolves, and bears in Minnesota.
The U of Minnesota has a raptor center that treats and releases injured birds of prey. They also have a veterinary hospital that does research in how to treat animals.
We have a nature center here where they do presentations with birds, amphibians, reptiles, fish, and insects. My kids have helped to wrangle worms and catch and tag birds.
We were recently in San Francisco and at the zoo and at the aquarium at the California Center for Science there were high school age students who were working as docents. They gave short presentations about the animals and fish, answered questions, etc. I was extremely impressed with their knowledge and presentation skills.
Zoologists research animals both in captivity and in the wild. Zoo keepers/trainers work with animals in zoos.
There is always veterinarian science.
A former classmate of mine works as a wildlife manager. He monitors wildlife numbers and conditions. Lots of national parks have wildlife researchers and naturalists who work with people visiting the park.
Habitat specialists design habitats for zoos and other wildlife centers.
I know a few wildlife photographers. One that I follow on Facebook also works with wild horse preservation.
Google jobs working with animals and there will be lots of other examples.