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