On June 14th the Supreme Court will hear Robert Latimer's appeal of his conviction of second - degree murder of his 12 year - old daughter Tracy. (ccdonline.ca)
Silver and Skelos have appeals of their convictions pending. (timesunion.com)
These days, since there is now a right to appeal a criminal conviction under state law or federal statute (but not the U.S. Constitution), a writ of habeas corpus is only brought when direct appeals of a conviction have been exhausted, often several years after the original conviction (which makes a writ of habeas corpus only useful for convictions involving long sentences of incarceration). (law.stackexchange.com)