It's an ongoing process but the good news is that update v1.80 for your PlayStation Vita is now live and ready to go.
As you probably already know by now, this is the update that will deliver PS1 classics to Sony's new portable. First on that list, all of which should be available as of today, are the following titles:
And as it says over at the PlayStation Blog :
"For those of you who have already purchased these titles, you will be able to re-download those games directly from your PS Store account or transfer them to your PS Vita directly from your PS3 at no extra charge."
You'll have to add the above confirmed list to what we heard would be coming from MonkeyPaw Games ; those titles should also be available today, so check the Store and see what's what.