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