It's depends on what you need. For search engines, youtube is rated much higher and will give you in general more traffic and views. Vimeo is excellent with a very good user interface.
Facebook, Vimeo, VEVO, Dailymotion, AOL, Metacafe, Break. BlipTV, Veoh, VideoBash, LiveLeak, MyVideo, FunnyOrDie, 5min, eBaumsworld, VideoJug, Nico Video, GodTube, Adult sites
I browse LiveLeak.com quite often. Similar to YouTube but does not have a huge following. It's more news and footage from around the world.
I can agree that DailyMotion may be the closest site to youtube in most terms, but the videos load slow and their advertisements can be long, especially with embedding.