Yes, they do.
Dogs: C5 vaccination is required which covers Parvovirus, Hepatitis, Distemper, Parainfluenza & Bordetella. Cats; Minimum F3 vaccination is required which covers Feline Enteritis, Rhinotracheitis and Calici virus.
Even though your dogs or cats are vaccinated either can get kennel cough or cat flu. These are like the human flu & not every strain is covered by the vaccine. Please check with your vet for further details.