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