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