- Rabbit
- Raccoon
- Raccoon Dog
- Ram
- Rat
- Rattlesnake
- Raven
- Red Panda
- Red Fox
- Red Deer
- Red Squirrel
- Red-tailed Hawk
- Reindeer
- Rhinoceros
- Roadrunner
- Robin
- Rook
- Rock Hyrax
- Rockfish
- Ruffed Grouse
- Rhea
- Red-bellied Woodpecker
- Red-eyed Tree Frog
- Rainbow Trout
- Ribbon Eel
- Red Snapper
- Rosy Boa
- Royal Penguin
- Red-handed Tamarin
- Rice Rat
- Round Stingray
- Rock Lobster
- Rough Green Snake
- Red Admiral (butterfly)
- Red-shouldered Hawk
- Red-breasted Nuthatch
- Ruddy Duck
- Rock Pigeon
- Red-breasted Merganser
This comprehensive list should give you plenty of options for your A-Z series on animal names starting with R.