There are several alternatives to Premiere,
Adobe Premiere Pro vs.
- for both the Pro and Elements (consumer) versions,
- and for both Mac and Windows (the two common video editing platforms)
Adobe Premiere Elements vs. ...
- Sony Vegas Video (Windows)
- Final Cut Pro (Mac)
- Canopus Edius (Windows)
- Avid Media Composer (Mac, Windows)
- MainConcept MainActor (Windows) [discontinued]
- Media 100 (Mac)
- Sony Vegas Movie Studio (Windows)
- Final Cut Express (Mac) [discontinued]
- Pinnacle Studio (Windows)
- Ulead/Corel Video Studio (Windows)
- Avid Free DV (Mac, Windows) [discontinued]
- VirtualDub is another great editor, but it's not really at the same level as Premiere Elements (not even close to a full professional NLE)
- Blender is popular, but it's not really an editor.
- Nuke and After Effects are professional titling/rendering/3D programs that can also edit video.
- Womble MPEG Video Wizard is great for basic cuts/arrangements (no re-encoding) for MPEG-2 video footage
- Lightworks is a buggy freeware in alpha/beta form.
I'll update this post some more, when I get some time.