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