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