Here is the list of free games available on the Xbox 360 and Xbox One to Gold Members only, for the month of October. Don’t forget you can save lots of money on Xbox Live Gold Membership and Microsoft credit here
On Xbox One, Xbox Live Gold members can download Gone Home: Console Edition for free during the month of October. The Turing Test will be available as a free download from October 16th to November 15th. On Xbox 360, starting October 1st, Rayman 3 HD will be free for Xbox Live Gold members through October 15th. Then on October 16th, Xbox Live Gold Members can download Medal of Honor: Airborne for free through October 31st.
SOURCE : MAJOR NELSON