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