The former, which is usually priced at £9.99 / $14.99, is now free until May 15. Saints Row The Third, which is normally priced at £14.99 / $19.99, will be free to download from May 16 until the end of the month.
CVG's Saints Row The Third review said the game is "wildly imaginative and frequently entertaining", but that "a lack of technical polish and weak combat overshadow its achievements".
Announced at E3 in June 2013, Games with Gold gives XBLG subscribers two free games to keep each month.
While it was originally revealed as a limited time campaign, Microsoft said last October that Games with Gold would be an "ongoing benefit" with no end date planned.
In November, the platform holder also revealed plans to launch Games with Gold on Xbox One in 2014, although it recently said the service "might not look exactly the way things have looked in the past".