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