bassets are great bird dogs. Mine have chased pheasant, quail, turkey, partridge, and dove.I have a friend in NH, who runs a hunt camp on his property and most of his customers prefer to take his bassets instead of the bird dogs. I even had some rescue bassets that caught a parakeet.
Bella, our greyhound basset mix (just kidding folks, her papers say she's all basset), has presented us with three dead birds in the last six months, one on the bed early in the morning. I haven't seen her kill them, but since this has taken place at two separate houses, I she's getting them. We have squirrels that run all over the yard, and she could care less about them. Wild rabbits are plentiful in neighbors' yards, but seem smart enough not to hang around here.