The character that dies near the beginning of the game can be saved on a second playthrough. Basically where she dies she instead gets taken back to enemy base in NG+. You destroy the enemies at that point of the game, pick up a special item, and then at the very end of NG+ you can rescue her or something. Those two trophies are really the only reason to go through NG+, though, so I don't see myself putting in the time for them.
If the game moved faster I totally would, though. I like how difficult it is, but there are just too many small extremely tedious things about it. The movement is

ing annoying. Such a minor issue but it's such a pain in the ass.
That and the MP trophies. I need to grab some of them, but it looks like they're a pretty big time sink. I know you boosted yourself with Vita cross-play; I don't have that ability unless I rent from GS and I'm not really inclined to bother.