Here is the full list of all 41 DARK SOULS: REMASTERED achievements. It takes around 60-80 hours to unlock all of the achievements on Windows.
All achievements completed. Congratulations!
Acquire all miracles.
Acquire all rare weapons.
Reach "The Dark Lord" ending.
Acquire best weapon through enchanted reinforcement.
Acquire best weapon through magic reinforcement.
Acquire best weapon through occult reinforcement.
Reach "To Link the Fire" ending.
Acquire best weapon through divine reinforcement.
Acquire best weapon through raw reinforcement.
Acquire best weapon through crystal reinforcement.
Acquire best weapon through standard reinforcement.
Acquire all sorceries.
Discover Gravelord Servant covenant.
Acquire all pyromancies.
Acquire best weapon through fire reinforcement.
Acquire best weapon through lightning reinforcement.
Discover Path of the Dragon covenant.
Acquire best weapon through chaos reinforcement.
Defeat Crossbreed Priscilla, the Lifehunter
Defeat Seath the Scaleless, inheritors of souls.
Defeat the Soul Lord Bed of Chaos.
Discover Darkwraith covenant.
Defeat the Four Kings, inheritors of souls.
Discover Forest Hunter covenant.
Defeat Dark Sun Gwyndolin, the Darkmoon God.
Acquire the Art of Abysswalking.
Discover Chaos Servant covenant.
Discover Blade of the Darkmoon covenant.
Defeat the Soul Lord Gravelord Nito.
Acquire the Rite of Kindling.
Discover Princess's Guard covenant.
Acquire the Lordvessel.
Arrive in Anor Londo.
Ring Bell of Awakening in Quelaag's domain.
Discover Warrior of Sunlight covenant.
Ring Bell of Awakening at Undead Church.
Discover Way of White covenant.
Arrive in Lordran.
Acquire Estus Flask.
Light bonfire flame.