Here is what claims to be “the world’s biggest multilingual list” of sounds that animals make. It has 58 animal sounds as made in 17 languages. Some of the animals are recorded as making separate sounds for different meanings (e.g., there are 10 different sounds listed for dogs) and some are distinguished between the sounds made by the male and the female of the species (e.g., the turkey). Needless to say, there are lots of gaps.
It’s unfortunate that Derek Abbott, who created the page, only gives transliterations and doesn’t provide terms in the original alphabets, and doubly unfortunate that some of them are simply wrong (Russian pigs grunt хрю [khryu], not “hrgu”), but it’s a great idea and I hope someone will do it better (or Abbott will improve his page).