The Sony PlayStation Vita is the spiritual successor to the PSP, which was launched almost seven years ago.
Starting with "Samurai Beatdown," Sony PlayStation is offering six free titles over six weeks for gamers on the go.
The offer applies to PlayStation Certified HTC Android devices (including the HTC One range), Sony smartphones and tablets, and the PlayStation Vita portable console.
The Mobile Store is built into the Vita, and accessible on mobile devices via a PlayStation Mobile Android App available from the Play Store.
A new game is due every Wednesday until the promo finishes at the close of February.