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