I suspect most people just aren't visiting the boards on a Saturday night... but here I am.
Disclaimer: I sell Lynx systems and games on my Songbird site. So take what I say with a grain of salt.
The Lynx is a very cool and powerful system. If you like arcade ports, like Klax, STUN Runner, Rampart, Battlezone, Ms. Pac-man, etc., you will be very happy. The Lynx can also do some nice 3D (mostly pseudo-3D) games, like BattleWheels and Xybots. Slime World is a really cool game with lots of play modes. Shanghai is a great puzzle game, and Checkered Flag is a really engaging racing game. I have published some games such as Championship Rally and CyberVirus.
I personally prefer the Lynx II since it is smaller, has better battery life, and stereo sound on the headphone jack. New Lynx units are pretty hard to come by these days (I do have 2 or 3 left in stock), but used Lynxes aren't too hard to find if you prefer that route.
See my website below if interested in purchasing some games, or just to check out the games I have published for the system.