Path of the Conquerors 
Clear the Bloody Palace with all characters.

Bloody Palace unlocks after you’ve cleared the game. You can play this at anytime, however you should wait until you cleared Dante Must Die mode. You’ll have super costumes for unlimited DT and special moves that restock for massive damage. Just like Devil May Cry 4’s Bloody Palace, there is 101 floors to clear. From floor 1-80, the difficulty is set on Son Of Sparda mode. From 80-101, the difficulty is Dante Must Die mode. Once you cleared Bloody Palace with all characters, the trophy will pop:

Hell of a Hunter trophy:

you can get S on all missions in any difficulty also you can get it from Heaven and Hell alone.

Worthy of Legend trophy:

add more than not just equal because I got 6000 in DMD and I got A.

Human < 4000
Devil Hunter < 5000
Son Of Sparda < 5500
Dante Must Die < 6000
Heaven And Hell < 1500
Hell And Hell < 5500

also not need to play all characters in mission 7 and 13 to get S for all,just play only one character to get S.

for V just set auto assist without getting hit you will get S.

Highway to Hell trophy:

not all missions need to finish without hit to get S there some missions can be get two hits and will get S:

Prologue – not need to kill the boss
Mission 04 – without auto assist
Mission 06
Mission 07 – with V
Mission 08 – not need to kill the 2nd boss
Mission 09
Mission 13 – V with auto assist