Is there any series of games that were released on the PlayStation systems in order?

Star Ocean 2 -PS1
Star Ocean 3 -PS2
Star Ocean 4 -PS3

Not quite a trilogy since the original was elsewhere and there's a so called Prequel on the 360. Don't have a PS3 yet, so I can't say they maintained quality or not.

The remainder of what I know either doesn't have a PS3 rendition yet, like Suikoden or Valkyrie Profile; or had way to many renditions to be somewhat like what you are asking, like Final Fantasy.

EDIT: I don't think the Star Ocean series' stories have much of anything to do with each other though, I've put off playing Star Ocean 2 for ages and never got around to it.

Star Ocean 1 and 2 are direct sequels. Star Ocean 4 seems to be that way also, with a main character from the Kenny family. Star Ocean 3 had a lot of references to 2 but then it ruins them all. Also Star Ocean 4 was released on the 360 first, and then the PS3. There is no prequel.