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