I'm pretty sure in our current rental the kitchen and laundry are on the same circuit, which means I'll often have the dryer, washing machine, kettle, toaster and microwave drawing power at the same time. It's never been an issue.
I've never seen a dedicated circuit for dryers in Australia, and I've lived in probably a dozen different properties. Ovens, aircon, hot water, bathroom heat lamps often have dedicated circuits, though.