The banana image is in GIF format and GIF format images do support animation - it's just that your browser is not cycling through the frames of the GIF animation for some reason ... it's got nothing to do with HTML. Many applications (Photoshop, IrfanView, Firefox, IE Explorer, etc.) can display GIF images, but it's up to each application to decide if it wants to cycle through the frames of the animation, and how quickly to do it. I still think there's a setting in your browser's preferences that says to not play the animations. Try reloading the page, or upgrade to a newer browser (Internet Explorer I presume?) if you're using an old version.

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2000 CLK 430
2004 BMW R1150RT
2001 Honda VFR800i