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
Max out all Social Links
Rescue Marie
Buy an item from the Capsule Machine
Perform 50 Persona fusions
Secure Tohru Adachi
Register over 50% of the Compendium
Use 4 or more Personas in a special fusion
Catch the Sea Guardian
Max out 10 Social Links
Drink the coffee at Chagall Cafe
Go to 3 movies at 30 Frame
Swing the net with perfect timing
Rescue Nanako Dojima
Switch Personas 5 times in 1 battle
Get 50 Sweep Bonuses
Finish Aiya's special dish
Max out all social qualities
Rescue Naoto Shirogane
Deal over 999 damage in 1 attack
Max out a Social Link
Enter a special relationship with someone
Secure Mitsuo Kubo
Rank #1 in your class on an exam
Make 5 perfect boxed lunches
Buy 5 things from Tanaka's Amazing Commodities
Rescue Rise Kujikawa
Rescue Kanji Tatsumi
Register a Skill Card
Exploit enemy weaknesses 100 times
Buy a Persona from the Compendium
Rescue Yukiko Amagi
Perform 50 All-Out Attacks
Defeat a Golden Hand
Fight a battle in costume
Enter a battle with Player Advantage
Obtain the Persona Izanagi
Earn all trophies
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
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