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