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