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