Afraid not, only limited spec MPEG-4/h264 movies:
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Video formats supported
* H.264 and protected H.264 (from iTunes Store): Up to 5 Mbps, Progressive Main Profile (CAVLC) with AAC-LC audio up to 160 Kbps (maximum resolution: 1280 by 720 pixels at 24 fps, 960 by 540 pixels at 30 fps) in .m4v, .mp4 and .mov file formats
* iTunes Store purchased video: 320 by 240 pixels or 640 by 480 pixels
* MPEG-4: Up to 3 Mbps, Simple Profile with AAC-LC audio up to 160 Kbps (maximum resolution: 720 by 432 pixels at 30 fps) in .m4v, .mp4 and .mov file formats
Audio formats supported
* AAC (16 to 320 Kbps); protected AAC (from iTunes Store); MP3 (16 to 320 Kbps); MP3 VBR; Apple Lossless; AIFF; WAV
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That is unless you are prepared to hack it and invalidate your warranty as some people have apparently done - it's not that it can't play these formats it just isn't set up to do so with the appropriate codecs. This may or may not officially change, but I wouldn't hold your breath waiting!
AC