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