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