We had geese and ducks when I was a kid, and can attest that Chinese geese[0] make wonderful pets (and can even roam through the house if you have tile floors :)). We also had Tolouse geese who were absolute monsters, and mallard and Peking ducks that never really demonstrated any affection for humans outside of a food supply.

We could pick up, pet and carry our Chinese geese, and they came when you called. They even used to wait at the end of the street and fly along with my father as he drove home.

[0] https://en.wikipedia.org/wiki/Chinese_goose