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