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 "To Link the Fire" ending.
Acquire best weapon through crystal reinforcement.
Acquire best weapon through magic reinforcement.
Discover Path of the Dragon covenant.
Acquire best weapon through chaos reinforcement.
Acquire all pyromancies.
Discover Darkwraith covenant.
Acquire all sorceries.
Reach "The Dark Lord" ending.
Acquire best weapon through lightning reinforcement.
Acquire best weapon through enchanted reinforcement.
Acquire best weapon through occult reinforcement.
Discover Warrior of Sunlight covenant.
Acquire best weapon through raw reinforcement.
Defeat Dark Sun Gwyndolin, the Darkmoon God.
Acquire best weapon through fire reinforcement.
Acquire best weapon through divine reinforcement.
Defeat Crossbreed Priscilla, the Lifehunter
Acquire best weapon through standard reinforcement.
Defeat the Four Kings, inheritors of souls.
Defeat Seath the Scaleless, inheritors of souls.
Discover Blade of the Darkmoon covenant.
Defeat the Soul Lord Gravelord Nito.
Acquire the Rite of Kindling.
Discover Gravelord Servant covenant.
Defeat the Soul Lord Bed of Chaos.
Acquire the Art of Abysswalking.
Discover Princess's Guard covenant.
Acquire the Lordvessel.
Arrive in Anor Londo.
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.