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