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