Free video editing software list for all platforms.

WINDOWS:

Windows Free Media Editor. Its Called Windows Movie Maker.
You must use IE to download this product as well, Open source browsers will not allow you to access the site I believe. Windows MovieMaker 2 is a capable little editor and ships free with virtually all new XP computers these days, with upgrades available on the Microsoft Website and other addons available as part of the Plus! package.
http://www.microsoft.com/windowsxp/using/moviemaker/default.mspx or
http://v4.windowsupdate.microsoft.com/en/default.asp
Virtual dub
A powerful freeware video editor with lots of features, including a choice of compression codecs, splitting, addition of audio tracks. Excellent.
http://www.virtualdub.org/

WAX
Wax is a high performance and flexible video compositing and special effects software. The idea for Wax is to be very general purpose and flexible in video compositing and effects, so that you can compose your dream video sequence with ease everytime.
http://www.debugmode.com/wax/

Zwei-Stein
Zwei-Stein 3.01 is a freeware non-linear, non-destructive video compositing and editing system which offers many advanced features unavailable elsewhere.
With Zwei-Stein you can edit up to 256 video, audio and still image clips, each with up to 64 effects chained serially. Cropping, panning and custom effects are easy with automatic key frames.
http://www.thugsatbay.com/tab/?q=zweistein

Avedit
It is a great tool to work with .AVI files. Regardless of small executable size, this avi editor offers you unlimited power of digital video processing. Some high-tech tricks included into AVIedit allows you to perform with ease and fun the many interesting things, like video warping, color restore, noise reduction and so on...
http://www.am-soft.ru/aviedit.html

Chopper XP
Chopper XP is a tool that lets you extract a part of any DVD easily. It is a Vob cutting program with a video display and a great interface. You just need to scroll to a location and select mark in and out points. The program also lets you set any priority of extraction and displays the estimated time left for extraction.
http://www.digital-miner.com/chopperxp.html

Virtual Edit
Virtual Edit is a semi-professional software video editing package aimed at ambitious content creators to video novices, who want to produce material with a slick and professional look, on a limited budget. Virtual Edit has been written by experts with experience in the Television and Broadcasting industries, which has been encapsulated in this simple software package.
http://www.virtualedit.net/home.htm

DDClip Free 2.23
http://www.softlab-nsk.com/ddclipro/free.html

Avid Free DV
Avid Free DV is feature-streamlined, standalone software which includes basic video and audio editing capabilities, up to two streams of real-time effects and support for both Windows XP and Macintosh OS X platforms.
http://www.avid.com/freedv/ .

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MAC OS X:

iMovie
iMovie that comes with every new Mac (OS X), now called iMovieHD and it's a part of iLife package. Apple iMovie '05 is an excellent (and free) video editor for the Mac platform, with advanced video editing features and a lot of addon and plug-in support. You can find more information about iMovie at Apple's iLife '05 site. Note that this software is free only if you buy a new Mac. You can purchase it, however, if you just want the software.
http://www.apple.com/ilife/imovie/
Avid Free DV
Avid Free DV is feature-streamlined, standalone software which includes basic video and audio editing capabilities, up to two streams of real-time effects and support for both Windows XP and Macintosh OS X platforms.
http://www.avid.com/freedv/ .

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LINUX:
Cinelerra
CINELERRA, the first Linux based real-time editing and special effects system is a revolutionary Open Source HD media editing system. Long developed by Heroine Warrior with vital assistance from LMA, Cinelerra gives you real-time 1080p editing and compositing power on a state-of-art Linux video workstation. Developed for AMD64 OPTERON technology, the LMA CINELERRA system is a powerful and highly productive workstation for adding cost effective hardware and Linux software for Video and film production studios. The LMA CINELERRA system will support SMPTE-292 and SMPTE-259 native 10-bit resolution - the maximum resolution allowed in SMPTE SDI standards on OPTERON. CINELERRA was the first media editing system ported to support the AMD OPTERON 64 bit technology. CINELERRA has a number of effects built into the system including numerous telecine effects, video special effects including compositing, and a complete audio effects system. Cinelerra is featured on the APRO, the first 64 Bit Intellistation ever offered by IBM.
http://heroinewarrior.com/cinelerra.php3
More useful fork is here
http://cvs.cinelerra.org/
Lives
LiVES began in 2002 as the Linux Video Editing System. Since it now runs on more operating systems, LiVES is a Video Editing System. It is designed to be simple to use, yet powerful. It is small in size, yet it has many advanced features.
http://lives.sourceforge.net/

Kino
Kino is a non-linear DV editor for GNU/Linux. It features excellent integration with IEEE-1394 for capture, VTR control, and recording back to the camera. It captures video to disk in Raw DV and AVI format, in both type-1 DV and type-2 DV (separate audio stream) encodings.
http://www.kinodv.org/