A number of denominations hold an annual service wherein pets and other animals are blessed by the priest/rabbi/pastor.
In my experience, it can be a lovely time as pet owners brings their beloved four-legged (and often, finned) family members to church. It helps also if the pastor is an animal lover.
It can also be ... well, less than lovely when the above conditions don't apply. I'm sure you can imagine.
And then there are the critters which don't appreciate getting sprinkled:
This happens, too. You can trust me on this.