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