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