If you want, I can tell you what Chinese Zodiac hates the other, and a few other of their personality traits. I'm sorry, I just love the Chinese Zodiac xD
*I'm just putting down the worst relationships. Based off this info thouggh, I hope you can deduce which ones dislike each other, since it really does make sense.
Rat - Down right manipulative. This guy was able to get the Ox to get him to ride on his head, hopping off the head and claiming first, fooling the Ox. Worst relationship with Horse.
Ox - Loves helping people. The Ox is fairly gullible, however also very mobile and durable. Worst relationship with Goat/Ram.
Tiger - Hot headed, arrogant, and impatient. The tiger is cunning and intelligant. Now if only he can get over his arrogance. Worst relationship with Monkey.
Rabbit - Usually shy and timid, the rabbit is agile, but very modest. People born on the year of the rabbit typically love learning, and don't care how people do things. Seriously, it doesn't care, as long as they get the job done. Worst relationship with Rooster.
Dragon - Generous and noble, with a hint if a temper. The dragon can't turn down an offer for help, however, this usually puts it at a disadvantage, since that's what caused them to be 5th of the zodiacs. Worst relationship with the Dog.
Snake - One jealous cookie. The snake is jealous of the dragon, as the dragon can fly. There are some variations where the snake lost it's legs in the race, but that's just a variation. Worst relationship with Pig.
Horse - Kind, but a really rude mouth. The horse works hard towards what they believe in, and strongly stands their ground. They won't hesitate to run over those that get in the way.. However occasionally going back to scold them for being in the way, and then helping them out. Worst relationship with the Rat.
Goat/Ram - (Didn't do too much research, since I'm going off based what my grandmother has told me about her brother.) They can't really get a job. Intelligent, takes initiative and pretty much ideal, but they can never find a job. They are always persistant on trying things by them selves, easily annoyed as well. Worst relationship with the Ox.
Monkey - Childish, hyper, but surprisingly wise. These guys love to swing in trees, and are very athletic. However, they have no interest in work, and prefer playing all day, throwing banana peels down at the tiger, as the tiger cannot climb trees. Worst relationship with (You guessed it) Tiger.
Rooster - Intelligent, but has some serious inferior issues. They think that everything they do is right, and everything others do is wrong. Fairly manipulative, but not as manipulative as the rat. Worst relationship with the Rabbit. (And horse *cough*).
Dog - Playful as a child, and noble as an adult. These guys may be lazy sometimes, but they get the job done. They enjoy protecting things that they consider as smaller animals, however they can be very, very vicious. Worst relationship with the Dragon.
Pig - Wise, but lazy and slow. The pig enjoys taking their sweet time for things, but they are actually crazy smart, even if most deem that they are useless. Worst relationship with the Snake.
Aaaand that's it. Honestly, I could have added way more information, but I only put that much in case you didn't want me to put it on >~>
@Commander Cheesecake
*Prays that this is accurate and that I'm not just going crazy.*