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