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