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VideoJS is an HTML5 Video Player, built with Javascript and CSS, with a fallback to a Flash video player for when the browser doesn't support HTML5 video.

The JW Player is an open-source embeddable media player for web sites, supporting many commonly-used audio and video formats. It supports playback of any format the Adobe Flash Player and HTML5 browsers can handle (FLV, H.264, MP4, VP8, WebM, MP3, AAC, JPG, PNG and GIF). It also supports various streaming and playlist formats (including RMTP, HTTP, live streaming and more) and a wide range of playback options. And its support for all of the major CDNs and adaptive bitrate switching mean you can deliver high quality content around the globe. The player is easy to configure, customize and extend. »

Flowplayer is an Open Source (GPL 3) video player for the web. Use it to embed video streams into your web pages. Built for site owners, developers, hobbyists, businesses, and serious programmers.

FV Player is a full functionality video player which allows you to host your videos anywhere (and everywhere at the same time). Save money on hosting and video management by being able to showcase your Vimeo videos, your YouTube videos and your secure videos all from a single player.

Demo:

reEmbed provides a themeable, branded video player for YouTube, Vimeo, Dailymotion and HTML video.