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