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