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