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