No single reporter or source contains all international cases and awards.The general sources listed below are in addition to specialized sources for specific courts, tribunals or topics such as international trade disputes or human rights that are listed in other research guides and in the guide International Law: Specialized Sources.
Books, working papers, etc. and law reviews, journals, articles on your topic might cite relevant cases or awards. See also Practice of international law by other countries (yearbooks, etc.).
For the titles of a country's case reporters and similar publications, consult the Bluebook or another citation manual. See also Foreign Law by Jurisdiction, NYU Law Library.
How to Find Cases in English Translation, Revisited, Lyonette Louis-Jacques
I.C.J. and P.C.I.J.
U.S. cases on international law