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