Weighing in at 6.54 GB, Capcom's fighting game is normally priced at £19.99 on Microsoft's digital marketplace.
Platforming fighter Charlie Murder is a 369.98 MB download usually priced at £6.75.
The titles replace Dark Souls, which was free to download for the first half of June.
A single Gold membership provides owners with access to the free games for both Xbox 360 and Xbox One, although the service differs on the two consoles in one important way. On Xbox 360, users are still granted access to free game downloads even if their subscription lapses, but on Xbox One, users are required to maintain their subscription in order to access freely downloaded games.