The PS3 has a limited ability to connect to the PSP and PS Vita, and stream a small number of full console releases on the go. (extremetech.com)
However the last full console release was back in 2006 with Onimusha: Dawn of Dreams. (gaminginstincts.com)
Yet again, a full console release would be nice, but placing this on a handheld makes more sense from a value standpoint, allowing the developers to focus on creating a tighter story without having to worry about the overall length of the game and the bonuses needed to pad out a console release. (toy-tma.com)