My first video game was also an LCD handheld, the first of a couple more I got afterwards.
It was this thing below, got as a souvenir from Melilla, nice little gift from my parents back then.
https://www.youtube.com/watch?v=2MDoBcCZUQQ
Have it and still works, love the little tunes it emits as it brings me back to that time, such a joy to listen.
FYI someone even made an app of it, but it is gone from the Play store... most likely due to license.