The first true generation of portable gaming, the 4th generation. Universally considered as having began in 1989 with the release of the Game Boy (and Atari Lynx!), and having ended sometime between 1997 (release of the Game.com) and 1999 (release of the Neo Geo Pocket Color). As this was the first generation of portable game consoles to actually have vitality, it's no surprise to see a relative lack of EOPs outside of the Game Boy, which only was able to get such EOPs by lasting deep into the 1990s.
See Atari Lynx.
See Hartung Game Master.
See NEC TurboExpress.
See Nintendo Game Boy.
See Sega Game Gear.
This system is simply a portable Sega Genesis without addon support.
See Watara Supervision.