Really primitive animals. Late Permian for example. A mix of thecodonts, therapsids, and even late pelycosaurs and remnant labyrinthedonts.
Or the early Triassic. A time when the dinosaurs were just starting to appear, but had yet to win out over the therapsids and advanced thecodonts then 'running' the place.
A look at city animals would be nice. Not just rats, mice, and pigeons, but raccoons, possums, skunks, and birds of prey. (Peregrine Falcons were established in cities in a successful attempt to save them from extinction, while red-tailed hawks have taken up the urban life on their own.) In more open, suburban areas one could get bears, large cats, coyotes or other small canids, and even herd animals. Think of the adventure possibilities in running an animal control business.
"You say the basilisk has been under your porch for the last two hours. Well, we can't do anything about your dog, but we do know a reputable de-petrifier who can help you with your son. In any case, we'll be there soon to take it away. Just make sure none of the neighborhood boys try having a staring contest with it."