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