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 rare weapons.
Reach "To Link the Fire" ending.
Acquire best weapon through chaos reinforcement.
Acquire best weapon through fire reinforcement.
Acquire best weapon through magic reinforcement.
Acquire best weapon through crystal reinforcement.
Acquire best weapon through enchanted reinforcement.
Acquire best weapon through standard reinforcement.
Acquire best weapon through raw reinforcement.
Acquire best weapon through occult reinforcement.
Acquire all miracles.
Acquire all pyromancies.
Discover Darkwraith covenant.
Acquire all sorceries.
Reach "The Dark Lord" ending.
Defeat Dark Sun Gwyndolin, the Darkmoon God.
Discover Warrior of Sunlight covenant.
Discover Blade of the Darkmoon covenant.
Acquire best weapon through divine reinforcement.
Defeat Seath the Scaleless, inheritors of souls.
Defeat the Soul Lord Bed of Chaos.
Acquire best weapon through lightning reinforcement.
Discover Path of the Dragon covenant.
Defeat the Four Kings, inheritors of souls.
Defeat the Soul Lord Gravelord Nito.
Defeat Crossbreed Priscilla, the Lifehunter
Discover Gravelord Servant covenant.
Acquire the Art of Abysswalking.
Discover Princess's Guard covenant.
Discover Forest Hunter covenant.
Acquire the Rite of Kindling.
Acquire the Lordvessel.
Arrive in Anor Londo.
Discover Chaos Servant covenant.
Ring Bell of Awakening in Quelaag's domain.
Ring Bell of Awakening at Undead Church.
Discover Way of White covenant.
Arrive in Lordran.
Acquire Estus Flask.
Light bonfire flame.