First game is the easiest of them all. Its called mono, and its a psychedelic asteroids clone, where the goal is to turn the screen from white to black, or vice versa. Each asteroid is red, green, or blue, and when destroyed will leave a bit of its color on the background. As it gets harder, the asteroids will start shooting you, and their movement behavior will change depending on the background color.
http://download.cnet.com/Mono/3000-2099_4-10379807.html?tag=txt
The next easiest is a game called Grotto King. Its a puzzle shooter...but you shoot a bow and arrow :P Every time you hit a target, something moves, or happens that will help you (and sometimes try to stop you) to progress to the next part.
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(Download at the bottom of the page)
http://www.blendogames.com/
The next two games, Syobon Action and I Wanna be the Guy, are much much harder. There are all sorts of deadly surprises, and when you *do* figure them out, its still hard to get past them! Syobon Action, is actually based off of I Wanna be the Guy, has no story at all, and looks like mario (including level design), and is a bit easier. I Wanna be the Guy has a weird storyline, and is really hard. I have beat all of the other games, but I don't think that I'm even close to beating this one.
Syobon Action:
http://www.acid-play.com/download/syobon-action/
I Wanna Be the Guy
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http://www.acid-play.com/download/i-wanna-be-the-guy/