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