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