There are a number of Arcade Games that can be played in Shenmue, although not for free.
You GAME Arcade
Located on the main street in Dobuita, beside Suzume Park.
Darts 7
Press the A button to throw the dart. Ryo's hand moves in an almost random pattern. The faster you throw the dart, the higher your Time Bonus will be. If you beat 120 points in the first game you can get a second game for free. A total of 240 points after the second game will get a third round for free, and the arcade owner will give you a Darts 7 capsule toy as a reward.
Hang On
Accelerate with the R-trigger, and steer with either the analogue stick or the D-pad. The goal is to make it past each successive checkpoint within the allotted time.
Space Harrier
Move with the Analogue stick to avoid obstacles and enemy attacks, and fire with the A button.
QTE Title
Punch the rising targets by pressing the appropriate button as quickly as possible. Miss three targets, and it's game over.
Excite QTE 2
Press the controller buttons that flash on the screen as fast as possible. The game speeds up gradually as it progresses.
Harbor Lounge
Just off the plaza beside Warehouse #18
Neo Darts
Similar to Darts 7, press the A button to release the dart. The hand movement is somewhat more predictable on Neo Darts.