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