You have to be NG+ to fight a certain boss at the end of the story to get the "One Who has Proven Their Power" trophy, and to fuse a persona required for two trophies. It is near impossible to read all of the books, and max all of the social links on your first playthrough.
Good news about NG+ is your money and weapon unlocks carry over, which allows you to buy and equip the best weapons and armor before the 1st dungeon, so you can just rush through the dungeons without grinding too much. I am currently doing NG+ and I am already halfway through august and have only played for an additional 15hrs (I'm not skipping dialogue either).
I am just thankful they made maxing all the social links easier than the PS2 version, which if you didn't do everything perfectly it was impossible to max out the links. They also nerfed the secret boss, man that boss was such a damn pain in the ass on PS2, I think I had to get a persona to level 100, just to not get wrecked.