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