.......You know what, I will call this for what it is; cheaper re-masters in disguise of PS2 titles coming to PS4.
Because that is what this is; games running slightly better, running at 1080p, having trophy support, and having all the PS4 OS features.
These are not PS2 Classics (which were direct ports of PS2 ISO's into the PS3 emulator), but remasters of Sony and third party games that publishers do not feel the need to fully invest in (ex: not something like FFX/X-2 HD which has new assets and a number of changes/fixes/ect).
I will say this to not get annoyed with the lack of my PS2 Classics working on PS4, as it is clearly Sony trying to milk some more money out of gamers who are interested in Sony titles.
Thankfully, I didn't get many PS2 Classics and my PS3 still works fine but still, do not like this move they are pulling. Maybe they have an upgrade program or something that they will announce at the PSX but this announcement is not really exciting me at all :l.
Will give Parappa 2, Ape Escape 2, the two Dark Clouds, Rouge Galaxy and other Sony games I missed out on a shot though

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