Just a note for anyone hoping to platinum this who's new to it:
Generally speaking, it's not that tough. On the PS3, you needed to beat the game around four times (the trophies for the respective difficulties stack) - normal, survivor (very hard, unlocked after one playthrough), normal plus and survivor plus. Because Remastered also has the DLC difficulty, Grounded, it also has two trophies for it; a trophy for one regular and a trophy for one NG+ playthrough.
I know some folk on GAF recommend going as high as possible, difficulty wise, because TLOU's gameplay flourishes when you do that - but I wouldn't recommend going higher than 'hard' on your first run-through. The higher difficulties are punishing enough, without going in blind. I'd recommend sticking to the above PS3 template. Even if you're a glutton for punishment, I'd still say do NOT go immediately to Grounded. It's difficult to the point I think it could alienate first time players. I find it maddening on my SIXTH playthrough. It seems designed for masochists and people who know the levels back-to-front.
Trophies for upgrading Joel and his weapons can only be attained via second playthroughs (new game plus).
Multiplayer was fairly straight forward before DLC - beat both the 'campaigns', which essentially involves playing online for around 40 hours. It's totally doable and the MP is super fun. However, the DLC brought new trophies - specifically ones for playing a game on each new map, without dying, and getting three downs or executions in the process. These trophies are a bastard. I still haven't gotten them all and I play a lot. The standard of play once you level up a decent amount is very high, and getting through a round unscathed is a real achievement. Good luck with those.
Left Behind's trophies are straight forward, but it is possible to miss some by failing mini-games which I wont spoil here.
Sorry if I'm covering ground discussed elsewhere, I'm catching up on the thread as we speak. Very jealous of folks who get to experience this for the first time this week - not even on PS4 - just jealous of people who get to experience it for the first time!