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