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