Here is the full list of all 50 Persona 4 Golden achievements. It takes around 150-200 hours to unlock all of the achievements on Windows.
Defeat Izanami
Rescue Marie
Win the Miracle Quiz Finals
Max out all social qualities
Secure Tohru Adachi
Register over 50% of the Compendium
Deal over 999 damage in 1 attack
Max out 10 Social Links
Visit Nanako in the hospital 3 times
Rescue Nanako Dojima
Make 5 perfect boxed lunches
Rescue Naoto Shirogane
Go to 3 movies at 30 Frame
Max out a Social Link
Enter a special relationship with someone
Secure Mitsuo Kubo
Switch Personas 5 times in 1 battle
Get 50 Sweep Bonuses
Drink the coffee at Chagall Cafe
Rank #1 in your class on an exam
Swing the net with perfect timing
Buy 5 things from Tanaka's Amazing Commodities
Rescue Rise Kujikawa
Buy an item from the Capsule Machine
Buy a Persona from the Compendium
Rescue Kanji Tatsumi
Perform 50 All-Out Attacks
Exploit enemy weaknesses 100 times
Defeat a Golden Hand
Win a prize from the vending machine
Rescue Yukiko Amagi
Buy a special croquette from Sozai Daigaku
Register a Skill Card
Fight a battle in costume
Enter a battle with Player Advantage
Obtain the Persona Izanagi
Earn all trophies
Perform 50 Persona fusions
Use 4 or more Personas in a special fusion
Experience a fusion accident
Register 100 Skill Cards
Hear 250 of Rise's navigation lines
Defeat Margaret
Defeat The Reaper
Finish Aiya's special dish
Read all books
Create Izanagi-no-Okami
Complete the Persona Compendium
Catch the Sea Guardian
Max out all Social Links