I had the same problem. I inspected the osmplayer page and copied all of the script and style sheet references made there, making adjustments to match the file system in my own code.
<script type="text/javascript" src="../../public/osmplayer/bin/osmplayer.compressed.js"></script>
<link rel="stylesheet" href="../../public/osmplayer/jquery-ui/dark-hive/jquery-ui-1.8.18.custom.css">
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.compatibility.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.flags.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.async.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.plugin.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.display.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.image.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.file.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.playLoader.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.players.base.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.players.html5.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.players.flash.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.players.minplayer.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.players.youtube.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.players.vimeo.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.players.limelight.js"></script>
<script type="text/javascript" src="../../public/osmplayer/minplayer/src/minplayer.controller.js"></script>
<script type="text/javascript" src="../../public/osmplayer/src/osmplayer.js"></script>
<script type="text/javascript" src="../../public/osmplayer/src/osmplayer.parser.default.js"></script>
<script type="text/javascript" src="../../public/osmplayer/src/osmplayer.parser.youtube.js"></script>
<script type="text/javascript" src="../../public/osmplayer/src/osmplayer.parser.rss.js"></script>
<script type="text/javascript" src="../../public/osmplayer/src/osmplayer.parser.asx.js"></script>
<script type="text/javascript" src="../../public/osmplayer/src/osmplayer.parser.xspf.js"></script>
<script type="text/javascript" src="../../public/osmplayer/src/osmplayer.playlist.js"></script>
<script type="text/javascript" src="../../public/osmplayer/src/iscroll/src/iscroll.js"></script>
<script type="text/javascript" src="../../public/osmplayer/src/osmplayer.pager.js"></script>
<script type="text/javascript" src="../../public/osmplayer/src/osmplayer.teaser.js"></script>
<link rel="stylesheet" href="../../public/osmplayer/templates/default/css/osmplayer_default.css">
<script type="text/javascript" src="../../public/osmplayer/templates/default/js/osmplayer.default.js"></script>
<script type="text/javascript" src="../../public/osmplayer/templates/default/js/osmplayer.controller.default.js"></script>
<script type="text/javascript" src="../../public/osmplayer/templates/default/js/osmplayer.pager.default.js"></script>
<script type="text/javascript" src="../../public/osmplayer/templates/default/js/osmplayer.playLoader.default.js"></script>
<script type="text/javascript" src="../../public/osmplayer/templates/default/js/osmplayer.playlist.default.js"></script>
<script type="text/javascript" src="../../public/osmplayer/templates/default/js/osmplayer.teaser.default.js"></script>
You don't have to include all of these references. For example, if your not including youtube videos then you can leave out the miniplayer.players.youtube.js file and so on. Hope this helps.
edit: my jQuery references are on a common layout page and are always loaded in. Those are definitely needed. Just be careful not to reference those twice. That also caused me a problem.