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