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