The Widgetbox section of this site has a good selection of widgets to make it easy to create a number of different types of audio and video players, various types of Vimeo and YouTube player and an Audio Playlist player.
Audio MP3 Players
The audio players use an MP3 file to playback audio using HTML5 with fallback to flash for out of date browsers. Click any icon for more info...
Video MP4 Players
Website movie players include various ways to display Vimeo and YouTube movies, MP4 video with flash falllback and a full screen responsive background video.