It's more of an intuitive journey than something you can take an online quiz about. Books and websites have information that can help, but they can't find your spirit animal for you.
It also depends on your tradition. A lot of Americans refer to any form of animal spirit as a totem, but the Native American tradition of the totem was that of family or clan guardians.
The Icelandic/Norse fylgjia might be what you're looking for, because that is an animal spirit associated with an individual person, but in that tradition you would never know what that animal is until the moment of your death.
There are many other different traditions of therianthropy. The New Age sometimes makes the distinction between a "messenger" animal spirit (that is with you for a specific reason for a short time as a spirit animal guide), a "power" animal spirit, a "shadow" animal spirit, and so on, each one different.