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