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