Yakuza 3

1 million yen bonus
Successfully complete the game on the Easy or Normal difficulty.

3 million yen bonus
Successfully complete the game on the Hard difficulty.

EX-Hard mode
Successfully complete the game on the Hard difficulty to unlock the EX-Hard difficulty.

Premium Adventure mode
Successfully complete the game to unlock Premium Adventure mode.

Premium New Game mode
Successfully complete the game to unlock Premium New Game mode.

Reminiscence (Kaisou) mode
Successfully complete the game to unlock Reminiscence (Kaisou) mode.

Ukiyo's Bell
Have a saved game file from Ryu Ga Gotoku Kenzan!.

Ultimate Competition (Kyuukyoku Tougi)
Successfully complete the game.

Trophies
Successfully complete one of the following tasks to get a trophy:

Substory 10 (Bronze): Clear 10 Substories.
Substory 30 (Bronze): Clear 30 Substories.
Substory 50 (Bronze): Clear 50 Substories.
Substory 80 (Bronze): Clear 80 Substories.
Tough Guy Hunter (Bronze): Catch all Hitmen.
Big Spender (Bronze): Spend 300,000 yen in one visit to a Cabaret Club.
Good Coordinating (Bronze): Get a Cabaret Club Girl's fashion, etc. set up well in the "Groom A Cabaret Club Girl" side game.
Key Wanderer (Bronze): Open all coin lockers, both in Kamuro and Ryuukyuu.
Gourmet Master (Bronze): Order the most expensive dish at all restaurants.
Heat Action Master (Bronze): Finish a battle with a Heat Action 50 times.
Legendary Champion (Bronze): Win all tournaments at the Arena.
Trial Special (Bronze): Make one weapon at Ueyama's.
Started A Blog (Bronze): Have one Revelation.
The Path to Training (Bronze): Meet all masters/instructors.
Salon Craze (Bronze): Play two beauty-salon modes.
Hat Trick (Bronze): Get a Hat Trick at Darts.
Break Ace (Bronze): Get a Brake Ace at 9-ball billiards.
Karaoke King (Bronze): Sing all karaoke songs.
Boiled Turkey (Bronze): Get a Turkey in Bowling.
Exceptional Gambler (Bronze): Get 10,000 cumulative points at Chinchirorin, Koikoi, and Oichokabu.
Great Gambler (Bronze): Get 10,000 cumulative points at Roulette, Poker, and Blackjack.
Pro Gamer (Bronze): Get the trophies at the three games in the arcade. For the UFO Catcher, get 10 dolls. For Anser x Anser, win 10 rounds. For the shooting game, get the High Score.
Immovable Shogi Player (Bronze): Win shogi without moving the "King" piece even once.
Exposed Dragon (Bronze): Use a Naked Pair Wait (Hadakatanki) in Mahjong.
Nice Hitter (Bronze): Pass the Hard Course at Yoshida Batting Center.
Powerful Driver (Bronze): Hit a 350-yard drive in Competition Mode in Golf.
Tuna Lord (Bronze): Catch a tuna when Fishing.
Ultimate Challenger (Bronze): Play all unlockable Ultimate Fighting modes.
Marathon Runner (Bronze): Run 42,195km.
Walking Bank (Silver): Have over 10,000,000 Yen on your person.
All Substories (Gold): Complete all Substories (missions).
Mini-Game Master (Gold): Complete all Mini-Games.
Proof of Being the Strongest (Gold): Clear the game on the unlockable EX Hard difficulty.
Platinum Trophy (Platinum): Get all the game's Trophies.
Additionally, there are sixteen secret trophies:

Boss 01 (Majima) (Bronze): Defeat Majima in Story Mode's Chapter 1.
Boss 02 (Rikiya) (Bronze): Defeat Rikiya in Story Mode's Chapter 2.
Boss 03 (Tamashiro) (Bronze): Defeat Tamashiro in Story Mode's Chapter 3.
Boss 04 (Hasebe) (Bronze): Defeat Hasebe in Story Mode's Chapter 4.
Boss 05 (Mysterious Foreigner) (Bronze): Defeat the Man in the Black Suit in Story Mode's Chapter 5.
Boss 06 (Kanda) (Bronze): Defeat Kanda in Story Mode's Chapter 6.
Boss 07 (Majima II) (Bronze): Defeat Majima in Story Mode's Chapter 7.
Boss 08 (Lau Kar Lung) (Bronze): Defeat Lau Kar Lung in Story Mode's Chapter 8.
Boss 09 (Kazama) (Bronze): Defeat Kazama in Story Mode's Chapter 10.
Thank You From the Staff (Bronze): Clear Story Mode.
Runaway Train (Bronze): Knock down 100 people.
People Watcher (Bronze): Start 10 battles by staring at people in first-person mode.
Destroyer (Bronze): Break 100 weapons in battle.
Volunteer (Bronze): Pick up 5 pieces of trash at the beach in front of the Morninglory.
Boss 10 (Defeat Mine) (Silver): Defeat Mine in Story Mode's Chapter 12.
Eco-Master (Silver): Pick up 30 pieces of trash from the beach in front of the Morninglory Orphanage.