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