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