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