There should be more animals like a dog that raises your motivation quicker and like a bird that caries money to buy stuff or your town and more the bird costs the quicker it caries it.
Apparently if you pray for 24 hours non-stop you DO get a parrot and it just keeps repeating 'pieces of note, pieces of note'. I couldn't swear to it but someone made a post about it so i reckon it's true.
Perhaps there could be various birds and you eventually upgrade to a Norwegian Blue? then that goes THROUGH the vortex and retrieves the Stone of Arnor from the goblin hordes?
OR .......How about a monkey that always shouts at you! sic him sdj!