Criterion's confirmed that Burnout Paradise will release on PSN this Thursday, as you an see here.
From the developer:
Buying the game gets you all the original Burnout Paradise disk content. If you missed it, that's all 5 neighbourhoods in the Paradise City open world filled with hundreds of Road Rage, Stunt Run, Marked Man and Burning Route events. Every street in the city features a Road Rules record time and Showtime score to beat. Take it online, and you'll witness the seamless arrival of up to 7 friends. Collaborate with them to beat 350 Freeburn Challenges – simple challenges taking you all over Paradise City.
Tons of details through the link.