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