Chocobo no Fushigi Dungeon (1997)
The predecessor of the US-released Chocobo's Dungeon 2.

Digical League (1997)
Square's first attempt at a baseball game. Uses semi-SD-style players.

Front Mission 2 (1997)
The sequel to the Super Famicom hit, set 12 years later.

Front Mission Alternative (1997)
A real-time take on the Front Mission series.

Power Stakes (1997)
Horse racing.

Power Stakes Grade 1 (1997)
More horse racing.

Pro-Logic Mah-Jong Hai-Shin (1997)
Mahjong anyone?

Tobal 2 (1997)
One of the best games never released in the US, Tobal 2 improves upon the original with a better quest mode and sharper graphics.
GameSpot's Import Review

Another Mind (1998)
An interactive movie in which you guide the main character through life.

Hai-Shin 2 (1998)
The sequel to Pro-Logic Mah-Jong Hai-Shin.

Power Stakes 2 (1998)
Even more horse racing.

Soukaigi (1998)
A third-person adventure with elements of a fighting game.
GameSpot's Import Review

Super Live Stadium (1998)
A baseball game.

Chocobo Stallion (1999)
Breed, ride, and race Chocobos in this horse-racing-style game.

Chocobo Collection (1999)
A compiliation of Chocobo Stallion, Chocobo Racing, and a new title, the board game Chocobo de Dice.

Cyber Org (1999)
A superhero-themed action/shooter.

iS internal section (1999)
A shooter, similar to Tempest, which uses music CDs to create levels.

Racing Lagoon (1999)
A sports-car racing simulation with heavy RPG elements.