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