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