Based on you remark, I looked for "criminal libel" and was surprised!
At Least About 200 Criminal Libel/Slander Prosecutions in Virginia from 2001 to 2008 : Volokh Conspiracy.
This comment in that thread seems to indicate the damages, fine, whatever are minute; cheaper than some speeding tickets.
Anyway, interesting - thanks for challenging my blanket remark. I don't know if Alaska has criminal libel. According to footnote 41 in the article linked at Volokh, Alaska's Criminal Defamation statute was struck down in the case of Gottschalk v. State, 575 P.2d 289 (1978), and the law was also repealed.