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