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