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