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