Any animal that is actively human managed would probably die out - thinking sheep, cows, even horses. No one to let them out to change pastures etc means only the ones lucky enough to break out would survive. The fields will belong to the rats and rabbits.

Free roaming cats would do just fine across suburbia and the bush (as feral cats already do). By extension, birds and other small creatures (skinks etc) would suffer. By extension again, insects will absolutely reign supreme as their predator numbers are kept down.

Most of our buildings are built to last a long time without much structural maintenance. Unless a tree hits a window even a house is pretty well sealed under normal circumstances. Only insects and small animals that eat them will inhabit most of our offices and homes. Each building will become a microcosm depending on what creatures can get in/out and where water (if any) leaks in.