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