Chappell v. Ayala, No. 13-1428, the Ninth Circuit decided in favor of California death row inmate Hector Ayala. The case involves the interaction between harmless error analysis and the deference owed to state court decisions when an inmate takes his rejected claims to the federal courts on habeas corpus. If I'm not mistaken, the Ninth Circuit's batting average in California capital cases, once certiorari is granted, is .000.
Los Angeles v. Patel, No. 13-1175: Does a hotel have a privacy interest in its guest register, so that police cannot inspect it at will even though a local ordinance says they can? There are a lot of heavily regulated industries that have such requirements. The government can go through an auto wrecking yard checking the VINs for stolen vehicles, for example. No warrant or particularized basis of suspicion required. How about hotels?
Henderson v. United States, No. 13-1487: What to do with a defendant's guns when, as a result of his conviction, he can no longer legally possess them?