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