I don't think a bunch of crusty old FF ports or some weird FF7 action-spinoff-vaporware thing is going to do much for the PSP.
And I highly doubt a Dragon Quest game appears on the PSP. Dragon Quest games usually go onto the platform with the highest userbase, and considering the DS has three times the userbase the PSP has, making a PSP game would be a waste of time, especially considering the low game sales of PSP games that aren't PS2/PSOne ports.
And looking into the future of the PSP, it's actually pretty bleak. It's mostly getting table-scraps, "GameCube Time-Bombs" (That's where a company like Edios would make a GC port of Hitman 2, release it 8 months after the other versions and when it predictably flops, use that as a reason to cancel further support), worthwhile games that the PSP audience just won't buy which causes them to flop, and the Sony first-party games, which is a PAINFUL position to be in, really.
Traditionally, the strength of Sony systems was their strong third party support. But with the PSP, most third parties are over in DS-town and they are performing better there, causing them to rely on their first-party games to push the system, and the results have been mediocre at best, and laughably pathetic at worst. The worst case scenario is if the PSP audience actually gets a taste for Sony First Party OVER third party games. Then they would get into the N64/GC situation, except with worse and less popular games.
Essay Pro