Table of Contents

New Game Plus
In Dark Souls III, as in all Dark Souls games, once you complete the story you have the option of entering into New Game + (generally abbreviated NG+; your third playthrough would be NG+2, fourth would be NG+3, etc.).
Echoes of the Past appear at new locations, extra enemies are added and they become stronger, drop greater amounts of Souls, and stronger versions of Soul Items and Rings can be found as well.
There is an unlimited number of New Game + playthroughs the player can enter into, however, enemies stop getting stronger after NG+7 (your 8th playthrough).
Increasing your "journey"
Cinders offers the option to increase the game cycle at the start of any playthrough.
There is a Giant Tree in the Cemetery of Ash outside of the Bell Tower where the player starts (brand new character, OR NG+), and interacting with it will increase the game cycle (called "journey" in Cinders).
This can be done as many times as wanted and at any given time, but the playthrough will be reseted and restarted at the begining of the game.
Any items and equipment obtained before using the Giant Tree will remain in the player's inventory (except most Key Items)
Enemy scaling in New Game + and higher
Playthrough  Title  Full Title  Max HP  Max FP  Max Stamina  Damage  All Defenses  Enemy Souls  Aux. Resistances  

1st (Journey 1)  NG  "New Game"  See "Enemy scaling in New Game" table  
2nd (Journey 2)  NG+  "New Game +"  See "Scaling in New Game +" tables below  
3rd (Journey 3)  NG+2  "New Game ++"  x1.05 more than NG+  x1.05 more than NG+  x1.05 more than NG+  x1.05 more than NG+  x1.05 more than NG+  x1.5 more than NG+  x1.05 more than NG+  
4th (Journey 4)  NG+3  "New Game +++"  x1.1 more than NG+  x1.1 more than NG+  x1.1 more than NG+  x1.1 more than NG+  x1.1 more than NG+  x2 more than NG+  x1.1 more than NG+  
5th (Journey 5)  NG+4  "New Game ++++"  x1.125 more than NG+  x1.125 more than NG+  x1.125 more than NG+  x1.125 more than NG+  x1.125 more than NG+  x2.5 more than NG+  x1.125 more than NG+  
6th (Journey 6)  NG+5  "New Game +++++"  x1.15 more than NG+  x1.15 more than NG+  x1.15 more than NG+  x1.15 more than NG+  x1.15 more than NG+  x3 more than NG+  x1.15 more than NG+  
7th (Journey 7)  NG+6  "New Game ++++++"  x1.175 more than NG+  x1.175 more than NG+  x1.175 more than NG+  x1.175 more than NG+  x1.175 more than NG+  x3.5 more than NG+  x1.175 more than NG+  
8th (Journey 8)  NG+7  "New Game +++++++"  x1.2 more than NG+  x1.2 more than NG+  x1.2 more than NG+  x1.2 more than NG+  x1.2 more than NG+  x4 more than NG+  x1.2 more than NG+ 
Enemy scaling in New Game
Enemies in New Game use these multipliers to their base stats in the listed zones.
NG Location  Max HP  Max FP  Max Stamina  Damage  Defenses  Enemy Souls  Aux. Resistances 

Cemetery of Ash  Base amount  Base amount  Base amount  x1.5  x0.25  Base amount  Base amount 
High Wall of Lothric  Base amount  Base amount  Base amount  x1.6  x0.3  Base amount  x1.05 
Undead Settlement  Base amount  Base amount  x1.1  x1.7  x0.5  Base amount  x1.1 
Road of Sacrifices  Base amount  Base amount  x1.1  x1.8  x0.75  Base amount  x1.15 
Cathedral of the Deep  Base amount  Base amount  x1.2  x2  x1  Base amount  x1.15 
Farron Keep  Base amount  Base amount  x1.2  x2  x1  Base amount  x1.15 
Catacombs of Carthus  Base amount  Base amount  x1.3  1.1  x1  Base amount  x1.2 
Smouldering Lake  Base amount  Base amount  x1.5  x2  x1.2  Base amount  x1.2 
Irithyll of the Boreal Valley  Base amount  Base amount  x1.3  x2  x1.3  Base amount  x1.25 
Irithyll Dungeon / Profaned Capital  Base amount  Base amount  x1.4  x2  x1.4  Base amount  x1.25 
Anor Londo  Base amount  Base amount  x1.5  x2.25  x1.5  Base amount  x1.25 
Lothric Castle  Base amount  Base amount  x1.5  x2.25  x1  Base amount  x1.25 
Untended Graves  Base amount  Base amount  x1.75  x2.5  x1.7  Base amount  x1.3 
Grand Archives  Base amount  Base amount  x2  x2.5  x1.8  Base amount  x1.3 
Archdragon Peak  Base amount  Base amount  x2  x2.5  x1.6  Base amount  x1.3 
Kiln of the First Flame  Base amount  Base amount  x2  x2.5  x2  Base amount  x1.3 
Painted World of Ariandel  Base amount  Base amount  x1.5  x2.5  x1.5  Base amount  x1.3 
Dreg Heap  Base amount  Base amount  x1.5  x2.5  x2  Base amount  x1.3 
The Ringed City  Base amount  Base amount  x2  x2.5  x2  Base amount  x1.3 
Scaling in New Game +
Scaling in New Game + is sepparated for weak enemies, strong enemies and Bosses.
Scaling in New Game + for weak enemies (applied to the stats of weak enemies from New Game in the listed zones)
NG+ Location  Max HP  Max FP  Max Stamina  Damage  Enemy Souls  Aux. Resistances 

Cemetery of Ash  x1.2  Base amount  Base amount  x1.25  x2 more than NG  x1.091 
High Wall of Lothric  x1.2  Base amount  Base amount  x1.25  x2 more than NG  x1.091 
Undead Settlement  x1.2  Base amount  Base amount  x1.25  x2 more than NG  x1.091 
Road of Sacrifices  x1.2  Base amount  Base amount  x1.25  x2 more than NG  x1.091 
Cathedral of the Deep  x1.2  Base amount  Base amount  x1.25  x2 more than NG  x1.089 
Farron Keep  x1.1  Base amount  Base amount  x1.25  x2 more than NG  x1.087 
Catacombs of Carthus  x1.1  Base amount  Base amount  x1.25  x2 more than NG  x1.085 
Smouldering Lake  x1.1  Base amount  Base amount  x1.2  x2 more than NG  x1.079 
Irithyll of the Boreal Valley  x1.1  Base amount  Base amount  x1.4  x2 more than NG  x1.083 
Irithyll Dungeon / Profaned Capital  x1.1  Base amount  Base amount  x1.3  x2 more than NG  x1.081 
Anor Londo  x1.1  Base amount  Base amount  x1.2  x2 more than NG  x1.077 
Lothric Castle  x1.1  Base amount  Base amount  x1.2  x2 more than NG  x1.071 
Untended Graves  x1.1  Base amount  Base amount  x1.2  x2 more than NG  x1.073 
Grand Archives  x1.1  Base amount  Base amount  x1.2  x2 more than NG  x1.069 
Archdragon Peak  x1.1  Base amount  Base amount  x1.1  x2 more than NG  x1.07 
Kiln of the First Flame  x1.1  Base amount  Base amount  x1.2  x2 more than NG  x1.07 
Painted World of Ariandel  x1.1  Base amount  Base amount  x1.1  x2 more than NG  x1.07 
Dreg Heap  x1.1  Base amount  Base amount  x1.2  x2 more than NG  Base amount 
The Ringed City  x1.1  Base amount  Base amount  x1.2  x2 more than NG  Base amount 
Scaling in New Game + for strong enemies (applied to the stats of strong enemies from New Game in the listed zones)
NG+ Location  Max HP  Max FP  Max Stamina  Damage  Enemy Souls  Aux. Resistances 

Cemetery of Ash  x1.2  Base amount  Base amount  x1.4  x3 more than NG  x1.097 
High Wall of Lothric  x1.2  Base amount  Base amount  x1.4  x3 more than NG  x1.095 
Undead Settlement  x1.2  Base amount  Base amount  x1.3  x3 more than NG  x1.093 
Road of Sacrifices  x1.2  Base amount  Base amount  x1.3  x3 more than NG  x1.091 
Cathedral of the Deep  x1.2  Base amount  Base amount  x1.2  x3 more than NG  x1.089 
Farron Keep  x1.1  Base amount  Base amount  x1.2  x3 more than NG  x1.087 
Catacombs of Carthus  x1.1  Base amount  Base amount  x1.2  x3 more than NG  x1.085 
Smouldering Lake  x1.1  Base amount  Base amount  x1.1  x3 more than NG  x1.079 
Irithyll of the Boreal Valley  x1.1  Base amount  Base amount  x1.2  x3 more than NG  x1.083 
Irithyll Dungeon / Profaned Capital  x1.1  Base amount  Base amount  x1.1  x3 more than NG  x1.081 
Anor Londo  x1.1  Base amount  Base amount  x1.1  x3 more than NG  x1.077 
Lothric Castle  x1.1  Base amount  Base amount  x1.1  x3 more than NG  x1.071 
Untended Graves  x1.1  Base amount  Base amount  x1.1  x3 more than NG  x1.073 
Grand Archives  x1.1  Base amount  Base amount  x1.2  x3 more than NG  x1.069 
Archdragon Peak  x1.1  Base amount  Base amount  x1.1  x3 more than NG  x1.07 
Kiln of the First Flame  x1.1  Base amount  Base amount  x1.2  x3 more than NG  x1.07 
Painted World of Ariandel  x1.1  Base amount  Base amount  x1.1  x3 more than NG  x1.07 
Dreg Heap  x1.1  Base amount  Base amount  x1.1  x3 more than NG  x1.07 
The Ringed City  x1.1  Base amount  Base amount  x1.1  x3 more than NG  x1.07 
Scaling in New Game + for Bosses (applied to the stats of Bosses from New Game)
Boss  Max HP  Max FP  Max Stamina  Damage  Enemy Souls  Aux. Resistances 

Iudex Gundyr  x1.2  Base amount  Base amount  x1.5  x3 more than NG  x1.097 
Vordt of the Boreal Valley  x1.2  Base amount  Base amount  x1.5  x3 more than NG  x1.095 
Curserotted Greatwood  x1.2  Base amount  Base amount  x1.4  x3 more than NG  x1.093 
Crystal Sage  x1.2  Base amount  Base amount  x1.3  x3 more than NG  x1.091 
Deacons of the Deep  x1.2  Base amount  Base amount  x1.3  x3 more than NG  x1.089 
Abyss Watchers  x1.2  Base amount  Base amount  x1.3  x3 more than NG  x1.087 
High Lord Wolnir  x1.2  Base amount  Base amount  x1.3  x3 more than NG  x1.085 
Old Demon King  x1.2  Base amount  Base amount  x1.3  x3 more than NG  x1.079 
Pontiff Sulyvahn  x1.2  Base amount  Base amount  x1.3  x3 more than NG  x1.083 
Aldrich, Devourer of Gods  x1.2  Base amount  Base amount  x1.2  x3 more than NG  x1.77 
Yhorm the Giant  x1.2  Base amount  Base amount  x1.5  x3 more than NG  x1.81 
Dancer of the Boreal Valley  x1.2  Base amount  Base amount  x1.3  x3 more than NG  x1.071 
Oceiros, the Consumed King  x1.2  Base amount  Base amount  x1.3  x3 more than NG  x1.075 
Dragonslayer Armour  x1.2  Base amount  Base amount  x1.3  x3 more than NG  x1.75 
Ancient Wyvern  x1.2  Base amount  Base amount  x1.3  x3 more than NG  x1.07 
Nameless King  x1.2  Base amount  Base amount  x1.2  x3 more than NG  x1.07 
Champion Gundyr  x1.2  Base amount  Base amount  x1.2  x3 more than NG  x1.073 
Twin Princes  x1.2  Base amount  Base amount  x1.2  x3 more than NG  x1.069 
Soul of Cinder  x1.2  Base amount  Base amount  x1.2  x3 more than NG  x1.07 
Sister Friede  x1.2  Base amount  Base amount  x1.2  x3 more than NG  x1.07 
The Lordran Remnants  x1.2  Base amount  Base amount  x1.2  x3 more than NG  x1.07 
Demon Prince  x1.2  Base amount  Base amount  x1.2  x3 more than NG  x1.07 
Halflight, Spear of the Church  x1.2  Base amount  Base amount  x1.2  x3 more than NG  x1.07 
Darkeater Midir  x1.2  Base amount  Base amount  x1.2  x3 more than NG  x1.07 
Slave Knight Gael  x1.2  Base amount  Base amount  x1.2  x3 more than NG  x1.07 
Information here is accurate for version 1.76.