Obviously in the summer the usual lizards, though usually the tail first, Brutus likes to bring me shrews & field mice that he finds in the neighbours' woodpile.
I had an awful experiance last summer when he was only a year old & hadn't learnt not to leave the presents on the patio the mouse ran around the house all day until the next, when it found the door.
Daisy brings lizards.
I've also had a canary (yes a yellow Tweetypie), a viper, housemartins, frogs…
This morning it was a thrush, I've got a trail of blood drops in the snow from the field next door.
All these go to the present cemetry; ie: under the laurel tree where they can't get at them.