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