Back home, indoors I had a cat by the name of Yuitan (in my native tongue it is shorthand for Yuitan'areta which means 'bug swatter' lol), but outdoors, it could be a number of different creatures, since the backyard had a large forest and massive hilly pasture.
I won't forget the garden; I consider my plants as pets too! Of course, I never named them, but gave them all the same love and attention (as did everyone else who tended my garden).
Probably my favorite (or at least one that I spent a lot of time with) was my Rafflesia. Yes, it smells wonderfully awful, and as an alchemist, that made me love it all the more. I also had a patch of lovely (and just as finicky) Fire Bloom Orchids.
Here, where I am now, I just have a twelve year old pug named Oscar. Yes, he's out of his prime now.