Cinelerra is a complete audio and video production environment for Linux. It replaces Broadcast 2000. [edit]
A common lament from home videographers is that Linux lacks video editors. It's not exactly true. There's Kino, which edits video and acts as a frontend to dvgrab. Jahshaka edits videos, and uses openGL to add special effects (though many say Jahshaka's strength is its user interface). Cinelerra is a professional grade editor, and while someone working with video regularly might find this is the only option, those needing simple edits and common effects will find it overkill.
There's another alternative for those needing a basic video editor. Open Movie Editor seems plain compared to Kino, but works with more file formats (with fewer hassles). It has a Jahshaka-like interface, without its occasional installation quirks.