A Tiger Electronics' watch version of Castlevania II: Simon's Quest. The gameplay barely resembles the original from Simon's Quest, so it could be considered a separate game. It was preceded by a more in-depth version in LCD handheld format. It was released in 1988.
The LCD version of OutRun is a watered-down version of the arcade game OutRun created by Tiger Electronics. Two versions were created - a handheld version, and a large tabletop unit, although the game itself is presumed to be identical.
OutRun is similar to several other LCD games on the market - you simply drive forward and try to avoid traffic. There is both a high and low gear, much like the arcade version.