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I really want to try to make a turn-based RPG flash game like the original Final Fantasy series. If I make the sprites (for me, not a difficult task), can anyone recommend a program that would work?

RPG Maker VX Ace.
Or RPG Maker VX.

I'm not a coder, but people make scripts for that type of stuff, and, with enough practice, you can probably custom code events and such.

For a flash game I would reccomend any of the following:

-Flashpunk: http://www.flashpunk.net/
-Flixel: http://www.flixel.org/
-Stencyl: http://www.stencyl.com/