These are all manifestations of affection" (Levinson, How Do Horses Show Affection?). Some verbal cues horses can show are low, soft 'nickering' sounds they make at each other as a way they show affection. Some horse owners can experience this between themselves and their horses, especially during feeding time. .
The third species I found interesting were giraffes. Giraffes are mostly quiet animals and the majority of their communication takes place on a non-verbal level. However, they do make some noises that have been observed both in the wild and in captivity by researchers. "The vocalization of giraffes becomes more prevalent during the mating season. The males will make what appears to be similar to a human coughing in order to attract the attention of females" (Giraffe Communication). Sometimes giraffes can be observed making low growling or hissing sounds. This is often to indicate that they are in danger or to ward off others. One of the non-verbal aspects of giraffe communication that is observed is necking. If necking is between a male and female, it's a sign of affection. When it is between two males, it is due to a battle, usually for a female's attention, to prove who is stronger.
The fourth animal that has an interesting love language is the chimpanzee. Chimpanzees spend a lot of time socializing. Most of their socializing is grooming each other. Adolescent chimpanzees will often play, chase, and tickle each other, as will adults with their offspring. Shows of affection include hugging and kissing, which can be between chimpanzees of any age or gender. "Chimpanzees have complex greetings and communication, which depend on the social statuses of the communicating chimps. They communicate verbally using a variety of hoots, grunts, screams, pants, and other vocalizations" (Mulcahy, 10 Comparisons Between Chimps). However, most of their communication is done through body language and facial expressions.