For the rest of us, PS3 owners can choose two free games from a list of five, while PSP owners can choose two free games from a list of four. To do so, head to the PlayStation Store and then to the "Welcome Back" area where you'll see the selection of titles (seen above).
There's also a new free version of PlayStation Plus, which is the one free month everyone gets as part of the "Welcome Back" program. And finally, the promised free "On Us" films are also currently being offered, and will remain so throughout the coming weekend. You'll have one month to grab your free games and other content, as the Welcome Back tab will disappear after July 3, 2011.
PlayStation Plus users will automatically have 60 extra days added to their subscriptions, Sony says. And though no details have yet been provided, "posts over the coming days" will apparently explain how the past month of missing content will be added to PSN.
Update: The European "Welcome Back" content is now also rolling out, according to the EU PlayStation Blog.
Update 2: As you might expect, things are a tad bumpy (especially on the PSP side of things, which isn't even showing a "Welcome Back" option for us), so maybe waiting an hour or two would be a good idea.
Update 3: If you can't get your free games even though you used to be able to see them, we've got the fix from the EU PS Blog after the break!