Since you have not published your age:
Playing with Canvas can be a good start. The way I learned AS2 [with similar features and ECMAScript style syntax like JavaScript], created "Canvas" (MovieClip) and played with lineTo and moveTo.
With this, you could write simple games like Pong [my first AS2 game] with simple AI ...
Joining this project will cover:
- User input
- Graphic arts
- Variables
- Flow management
- Settimeout
- Logics
- Collision detection
Pong is a great first project because you can customize whatever you want. When I wrote my version, I did this by holding Enter, you can place the block in the middle of the screen so that the ball bounces. The possibilities are mostly endless = /
If you are interested in more "classic" web design [non-RIA stuff]
You can go for a simple backlit game that takes about 30 minutes to write.
Warty
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