Here is a clip of what I think is his best dance from Broadway Melody of 1940 with Elanor Powell.
He writes about his horses in his autobiography Steps in Time. Astaire also shared his home with at least one pit bull terrier, but I can't find any photographs. There is also this scene from Shall We Dance in which he walks a succession of dogs in order to get Ginger Roger's attention.
In testament to Astaire's ongoing fame and popularity even twenty five years after his death. I found several dogs and cats listed on pet finder that are named after him. Here is one kitty
and one dog.
Lets hope the both find wonderful homes that make them feel like dancing!