I started playing around with game creation back on my father's old Apple II. However, if I limit myself to games created after the internet was invented

I have been using Game Maker to create the following:
Stellar Jetman http://sandbox.yoyogames.com/games/41753-stellar-jetman-10
This was a remake of an old hidden gem of a NES game called Solar Jetman (original can be played here:
http://nintendo8.com/game/267/solar_jetman_-_hunt_for_golden_warpship/). You travel to 4 or so alien worlds in your mothership, which lands on the planets and sends out a smaller ship to explore around the planet's caverns looking for power-ups and hunting down boss-alien ships to destroy. If you tractor beam power-ups back to your mothership, you can use them when docked with the mothership to customize your explorer ship. If your explorer ship gets destroyed, your pilot flies out with a jetpack and you can still save him if you make it back to the mothership in one piece.
Overall, it's a rough but fun exploration game.
Treasure Raider http://sandbox.yoyogames.com/games/32140-treasure-raider
This one has a mechanic like the board game "labyrinth". You are in a maze with walls that can be shifted or rotated around to create paths. From there you must avoid traps and try to collect treasure chests for points.
A nice short game. A little too hard at the end, but otherwise kinda neat. I've been told it's fun to squish enemies in the moving walls.
Catch Bots http://sandbox.yoyogames.com/games/48631-catch-botz
In this game, you control two robots at once. They throw an orb to each other that can be used to smash enemies to clear the level. You get more points for smashing more enemies with one shot.
For this game I was going for a retro-look, but it didn't really turn out. Don't let anyone tell you retro-graphics are easy, they still take good design decisions to look classic. Ignoring the graphics on this one, it's not a bad game with a lot of levels. It's partly an action game involving aiming and avoiding traps, but also partly a puzzle game where you try to figure out how to hit multiple enemies with a single shot.
Galatics http://sandbox.yoyogames.com/games/162236-galatics
This one is a simple tactical game where you move fleets of ships around a system of planets to destroy your opponent's base. The enemy AI adjusts it's difficulty during play to vary the pace of the game, give you a challenge, but also adjust to your skill level.
This one is probably my best overall game in terms of production-level. It sure took a long time to make. I'm pretty happy with it, although I had to remove a lot of cool features I had planned due to time constraints. But I think it still holds up and can be fun. Not too long either, if your good with strategy games.
And that brings me to my first Stencyl game:
Asteroids Plus http://www.stencyl.com/game/play/4223
It's an asteroids game where you collect gems mined from asteroids and return them to planets to score points. The more you return at one time, the more points you get but the harder the enemies that come after you. So, you can play it safe or push your luck.
I'm pretty happy with how it turned out, and it only took a few weeks to create which really tells you something about Stencyl's capabilities. It might be the most fun simple game I have made.
Thanks for reading, and for trying out some of the games if you had time. I hope to make many more as I learn Stencyl, and maybe collaborate with some of the creators of the fine games listed in this thread