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The following represents the capabilities of the top 10 plugins that allow YouTube embedding (and only capabilities relating to YouTube embedding specifically). These are shown along those available in Artiss YouTube Embed.
I have attempted to be fair in all cases and not miss of any functionality that a plugin may possess - whether my plugin does the same or not.
The top 10 plugins are based on downloads and is accurate as on 4th June 2011. If I have missed any out or you believe any of the information in inaccurate, please let me know.

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Artiss YouTube EmbedEmbedded VideoFLV EmbedJetpackSimple Video EmbedderSmart YouTubeVideo Sidebar WidgetsWordPress Video PluginWP YouTubeYoutube BracketsYoutuber

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Version2.04.11.2.11.2.22.24.1.45.20.7562.01.1 beta1.6

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Last updated03/02/201124/07/200814/01/200905/12/201120/07/201030/01/201218/10/201118/10/201114/01/200823/12/200627/02/2011

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Minimum WP version required
2.92.52.53.12.92.02.8.12.02.3N/A1.5

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Embedding Methods

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Shortcode[youtube][youtube][flv][youtube]NoNo[vsw][youtube] [youtubeplaylist][youtube] [wp_youtube][youtube][youtube]

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Function callYesNoNoNoNoNoNoNoYesNoNo

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WidgetYesNoNoNoNoYesYesNoNoNoNo

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URL (without shortcode)YesNoNoYesNoYesNoNoNoNoNo

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Custom post field (#1)NoNoNoNoYesNoYesNoNoNoNo

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How video is specifiedID or URLIDURLURL (#3)URLURLIDIDIDURLID

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Output Format

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OBJECT embedding usedAS3AS2Own PlayerAS3AS3AS2AS2NoAS2AS2AS2

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IFRAME embedding usedYesNoNoNoNoYesNoYesNoNoNo

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Chromeless playerYes

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Works without FlashYesNoNoNoNoYesNoYesNoNoNo

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XHTML compatible outputYesYesYesYesYesSwitchableNoYesSwitchableYesNo (#5)

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Link to plugin shown with videoNoYesNoNoNoNoNoNoNoNoNo

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EmbedPlus compatibilityYesNoNoNoNoNoNoNoNoNoNo

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Use a template to display videoYesNoNoNoNoYesNoNoNoNoNo

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Responsive output option
YesNoNoNoNoNoNoNoNoNoNo

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Options

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Basic options availableAll YouTube APINoneA fewA fewA fewManyA fewHeight & WidthA fewHeight & WidthA few

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Set default optionsYesNoManyNoNoYesNoYesYesNoYes

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Override options per videoYesNoSomeYesYesNoYesYesNoYesNo

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Define multiple profilesYesNoNoNoNoNoNoNoYesNoNo

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Download video optionYesNoNoNoNoNoNoNoNoNoNo

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Embed into commentsYesNoNoYesNoNoNoNoNoNoNo

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Feed OptionsThumbnail or linkNoConverts to textNoNoThumbnail or linkNoNoNoNoNo

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Specify a custom shortcodeYesNoNoNoNoYesNoNoYesNoNo

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Google Analytics trackingNoNoYesNoNoNoNoNoNoNoNo

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Advanced

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Editor buttonYesYesNoNoNoNoYesNoNoNoYes

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Admin bar linkYesNoNoNoNoNoNoNoNoNoNo

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Microformat MarkupYesNoNoNoNoNoNoNoNoNoNo

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RDFa MarkupYesNoNoNoNoNoNoNoNoNoNo

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Return YouTube short URLYesNoNoNoNoNoNoNoNoNoNo

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Show thumbnailsYesNoNoNoNoNoNoNoNoNoNo

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Show transcriptsYesNoNoNoNoNoNoNoNoNoNo

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Video sitemap generationNoNoYesNoNoNoNoNoNoNoNo

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Secure video capabilityYesNoNoNoNoYesNoNoNoNoNo

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Playlists

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Embed YouTube playlistsYesNoNoNoNoNoNoYesNoNoNo

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Create your own playlistsYesNoNoNoNoNoYesNoNoNoNo

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Number of playlistsUp to 99N/AN/AN/AN/AN/A1NoN/AN/AN/A

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Number of videos per playlistUnlimitedN/AN/AN/AN/AN/A5NoN/AN/AN/A

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Show random playlistYesN/AN/AN/AN/AN/AYesNoN/AN/AN/A

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Misc

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Does it work with all ID types? (#4)YesYesN/A [#6]YesYesNoYesYesNoYesNo

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Migration optionsYesNoNoNoNoNoNoNoNoNoNo

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Details above last updated01/02/201201/02/201201/02/201201/02/201201/02/201201/02/201201/02/201201/02/201201/02/201201/02/201201/02/2012

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#1 : This limits positioning of the video

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#2 : One video per post

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#3 : Parameters are passed via URL

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#4: The following videos cause problems due to characters used in their IDs…

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Video 1

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Video 2

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#5: Documentation states otherwise, but my own testing doesn't show this

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#6: I was unable to get the plugin to work to verify this