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