Hepatitis A does not destroy the liver unless you are a hepatitis B or C patient. Many of the other hepatitis viruses are benign for healthy people.
Hepatitis D, E, F, G, and many others that don't primarily attack the liver, but do attack it along with many other organs (e.g. Yellow Fever)
I don't know about viruses but there are several dieases that can destroy the liver. i.e., AIH, cancer, Wilsons, Biliary Disease, and Hemochrometosis (sp?).