Found this list of animals unique to Mexico
Mammals include the Vaquita, the Yucatan Brown Brocket , the Pygmy Raccoon , the Pygmy Spotted Skunk , Nelson’s Small-eared Shrew, the Fish-eating Bat, the Mexican Agouti, the Mexican Prairie Dog, the Tropical Ground Squirrel, the Chiapan Climbing Rat, the Tehuantepec Jackrabbit, and, as a breeding species, the Guadalupe Fur Seal. Mammals representing endemic genera include the Volcano Rabbit, the Gray Mouse Opossum, Buller’s Pocket Gopher, Thomas' Giant Deer Mouse, the Magdalena Rat, and the Banana Bat.
Birds include the Blue-capped Hummingbird, the Short-crested Coquette, the Citreoline Trogon, the Bearded Wood-partridge, the Rufous-bellied Chachalaca, the Elegant Quail, the Thick-billed Parrot, the Mexican Parrotlet, the Socorro Dove, the Tufted Jay, the Crimson-collared Grosbeak, Nava's Wren, the Red-breasted Chat, the Orange-breasted Bunting, and several possibly extinct species: the Imperial Woodpecker, the Cozumel Thrasher, and the Guadalupe Storm-petrel.
Mexico has an exceptional endemic reptile fauna (second only to Australia) including an endemic family, the Bipedidae, that includes the Baja California Worm Lizard. Other reptiles restricted to Mexico include the Santa Catalina Island Rattlesnake, Dunn’s Hog-nosed Viper, the Mexican Horned Pitviper, the Giant Hook-nosed Snake, the Ridge-headed Snake, the Oaxacan Spiny-tailed Iguana, the Puebla Knob-scaled Lizard, the Mexican Blind Lizard, the Bromeliad Arboreal Alligator Lizard, the San Esteban Island Chuckwalla, the Coahuilan Box Turtle, and the Bolson Tortoise.
Amphibians include the West Mexico Leaf Frog, the Shovel-headed Treefrog, the Dwarf Mexican Treefrog, Schultze's Mountain Stream Frog, the Axolotl, the Bigfoot Splayfoot Salamander, the Cerro Baul Dwarf Bromeliad Salamander, Townsend’s Dwarf Salamander, the Golden Thorius, and the Oaxacan Caecilian.
The Chiapas Catfish is the sole member of the endemic family Lacantuniidae. Other endemic freshwater fish include the Mexican Blindcat, the Blind Swamp Eel, the Mexican Blind Brotula, the Sarabia Cichlid, the Cuatro Ciénegas Cichlid, the Twoline Pupfish, the Tequila Splitfin, the Golden Skiffia, the Montezuma Swordtail, and the Mexican Golden Trout. Endemic marine fish include the Gulf Flashlightfish, the Coral Toadfish, the Plume Tube Blenny, the Blue-spotted Jawfish, the Clarion Damselfish, the Leopard Grouper, the Totoaba, the Gecko Goby, the Cortez Round Stingray, and the Lucas Barracuda.
Insects known only from Mexico include a swallowtail Baronia brevicornis, the Social White Eucheira socialis, Minerva's Owl Butterfly, a moon moth Actias truncatipennis, a damselfly Paraphlebia zoe, a jewel scarab Chrysina macropus, an elephant beetle Megasoma nogueirai, and an endemic grasshopper family, the Xyronotidae. A rich cave fauna includes a shrimp Creaseria morleyi, an endemic scorpion family, the Typhlochactidae, and an endemic millipede family, the Typhlobolellidae. Endemic marine molluscs include the Black Murex, a chiton Lepidozona clathrata, and a cone shell Conus kerstitchi. Other endemic invertebrates include the Mexican Rustleg Tarantula, a crayfish Cambarellus montezumae, a mussel Friersonia iridella and a freshwater snail Mexipyrgus carranzae.