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