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