The one trophy outside the two runs, the Screenplay Book, and the two menus that open up around them.
Nothing here depends on the runs except the Demo Theater, which waits for a finished game. The book trophy can be done at any point, even before the first run starts; if it isn't done yet, do it before the last results screen of run 2, so it doesn't hold up the Platinum.
Cover-to-Cover Solid 3: Book EaterAchievement
Location
Master Collection launcher · Screenplay Book – From the launcher's main screen, before starting the game, open the Screenplay Book and turn the pages one at a time until the last one; the book is long, so this takes a while. Avoid the jump-to-page option, which may not count the skipped pages. If nothing unlocks on the last page, close the book and open it again.
Summary
The only trophy earned outside the game itself: read the whole Screenplay Book in the Master Collection launcher. It needs no story progress.
Trophies
Bronze · PlayStationCover-to-Cover Solid 3: Book Eater
Achievement · XboxCover-to-Cover Solid 3: Book Eater
Achievement · SteamCover-to-Cover Solid 3: Book Eater
Title menu · Demo Theater – After run 1's credits and its clear save, choose Demo Theater on the title menu. Walk the figure onto a scene's slide to play it, or onto the leftmost slide to play everything in order. Some scenes have other versions that only appear after a run that triggered them, so a few slides can stay empty after one clear.
Title menu · Special – With a save that holds the optional Camera and at least one photo taken with it, choose Special on the title menu, then Photo Album, to view and edit the pictures.