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