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Thanks for asking.
The blue icon you see first is supplied by Remote Buddy. Once you tap it, that icon is internally replaced with a QuickTime element for native playback in the iPhone/iPod Touch's Safari browser.
If you get another blue icon from QuickTime, tap it to start playback.
If you get a striked through blue icon from QuickTime, QuickTime on the iPhone/iPod Touch has determined that it can't play back that content. Possible causes: unsupported file formats or encodings, the iPhone/iPod Touch are not authorized to play back the content (in the case of purchased content), etc.
Best regards,
Felix Schwarz