Thanks for those suggestions Harrison but it was neither of those.
Definitely not as fancy as 3D Grand Prix with that steering wheel, and kinda similar too Bandai Circuit, but the handhelds shape was horizontal not vertical, and the camera angle on the view was much more "closer to earth", flat on the ground, we could only see a few meters ahead.
This site might help me though: http://www.handheldmuseum.com/