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