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