Sony is trying to make amends with customers who may have been affected by a security breach with an offer that includes two free video games.

On Monday, Sony wrote in a blog post that its PlayStation Network and Qriocity services had finally been restored, almost a month since they were shut down on April 20.

The online networks were shuttered after Sony detected that hackers were able to access user account data, potentially affecting over 100 million accounts.

As part of Sony's offer, PlayStation Network users will be able to select two of the following PS3 games: "Dead Nation," "inFAMOUS," "LittleBigPlanet," "Super Stardust HD" or "Wipeout HD + Fury."

PSP owners can choose two of the following games: "LittleBigPlanet," "ModNation Racers," "Pursuit Force," or "Killzone Liberation."

Sony says it will also offer some free movie rentals over a weekend, to be announced.

In addition to a host of other freebies announced Monday, Sony has also previously promised free credit services for Canadian users, to protect against any fraudulent activity that may arise from the security breach. Details of when those services will be rolled out were not revealed in the blog post.