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 all miracles.
Reach "The Dark Lord" ending.
Defeat Dark Sun Gwyndolin, the Darkmoon God.
Acquire best weapon through occult reinforcement.
Acquire best weapon through divine reinforcement.
Acquire best weapon through enchanted reinforcement.
Acquire best weapon through magic reinforcement.
Acquire best weapon through crystal reinforcement.
Acquire best weapon through standard reinforcement.
Acquire best weapon through lightning reinforcement.
Acquire all pyromancies.
Defeat the Soul Lord Bed of Chaos.
Acquire all sorceries.
Defeat Seath the Scaleless, inheritors of souls.
Discover Blade of the Darkmoon covenant.
Defeat the Soul Lord Gravelord Nito.
Acquire the Rite of Kindling.
Discover Gravelord Servant covenant.
Defeat Crossbreed Priscilla, the Lifehunter
Discover Darkwraith covenant.
Defeat the Four Kings, inheritors of souls.
Acquire the Art of Abysswalking.
Discover Path of the Dragon covenant.
Discover Warrior of Sunlight covenant.
Discover Princess's Guard covenant.
Arrive in Anor Londo.
Acquire the Lordvessel.
Acquire best weapon through raw reinforcement.
Discover Forest Hunter covenant.
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.