The types of pets allowed in rentals can vary depending on the landlord or property management company's policies. Common pets that are typically allowed in rentals include cats, small dogs, birds, fish, and small caged animals like hamsters or guinea pigs. However, each rental property may have specific rules regarding pet size, breed, or number of pets allowed. It's essential to check with your landlord or property manager to understand their pet policy before bringing a pet into a rental property.