There are other browsers that support Flash (there is an extensive list right here), but these are the most popular.
Another way to access Flash on an iPad or iPhone is to stream it directly from your Mac or PC using Parallels Access. You run applications on your computer that you view and can control from your device -- you aren't confined to Flash, you can run any app on your computer using your device. It does cost $19.99 per year, but if you want to remotely access applications (or files) on your iOS device Parallels Access is recommended.
An alternative remote desktop application, the Anywhere Access version of Splashtop 2 costs $17/year and lets you stream all kinds of audio and video assets from your Mac or PC, including games and Flash content.
I hope these suggestions help you play Flash content on iOS devices, if you really must.
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