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