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