As we search free and no trial version of creating a flash game,we only found stencly.Easy to use,no programme requiered just drag and drop what you want.

Also clear and great tutorials at the same website,kongregate website advises this software also it will be great start for begiiners.
www.stencyl.com

You can also create html5 games as flash websites accept these too.Maybe check game maker html5.