If you currently use Final Cut Studio you're going to have to switch to something different at some point. That might mean "upgrading" to FCP X, or moving to a competitor's product, like Adobe Premiere Pro or Avid Media Composer. To aid this, I've included links to demo versions and free/paid tutorials.
Adobe Creative Suite 5.5: Production Premium Demo download link:Adobe CS 5.5 Production Premium 30-day Trial Version Includes Premiere Pro, Photoshop, After Effects, Encore, Audition, Illustrator, On Location and more. Cost of full application: 50% off ($849.50) thanks to a limited time "switch" promotion! Regularly $1650 for the suite of applications; $440 for the same suite in its "student/teacher" edition. (PremierePro can also be bought separately, but this is not nearly the same value as the bundle, which includes After Effects, Audition, Encore, etc.)
Avid Media Composer Demo download link:Avid Media Composer 5 Free 30-day Trial Cost of full application: $995 thanks to a limited time "switch" promotion. Regularly $2295; $295 for educational edition.
Lightworks Finally, it should be noted that Lightworks -- a professional editing application used to cut such films as Pulp Fiction, The Departed, and The King's Speech -- has gone open source for Windows and is slated for a late-2011 release on the Mac. If you currently have a dual-boot Mac, this is definitely a no-risk option to consider.
IzzyVideo: Final Cut Pro X Tutorial Cost: Free! Notes: Over 2.5 hours of training videos, plus project files. I don't expect this to go into a ton of detail, but what I've watched so far seems pretty good, and you can't beat the price.
Ripple Training: FCP X Cost: $40 Notes: I've used Ripple Training tutorials for earlier editions of Final Cut Pro, and I find them very efficient ways of getting up to speed on the application. These download to your iPad or computer through the iTunes store.
Larry Jordan: FCP X Cost: $99 for the entire set of tutorials. Or chapters for $15 each. Notes: Larry Jordan's previous FCP tutorials have been very good, but I can't say whether these are worth the extra cost over the Ripple tutorials. Jordan's tutorials have a little more personality than Ripple's, which is a pro or con depending on your taste.
Adobe: Editing With Adobe Premiere Pro CS5 If You're an Final Cut Pro user Cost: Free! Notes: A PDF that lays it all out -- straight from Adobe. Clearly they are in it to win it.
Adobe: Switching to Adobe Premiere Pro 5 Cost: Free! Notes: Covers same info as above, but in video form. About 80 minutes of tutorials to help you make the switch from FCP to Premiere Pro. Probably not enough to train you completely, but enough to let you reassure you that switching to Adobe would be a simple transition.
Adobe: Adobe TV - Learn Premiere Pro CS5 Cost: Free! Notes: Excerpts from the Lynda.com training listed below. Probably not a solution for advanced training.
Adobe: Learn Premiere Pro CS5 and CS 5.5 Cost: Free! Notes: Mostly text-based tutorials.
Lynda.com: Premiere Pro CS5 Essential Training Cost: $25/month gives you access to all Lynda.com training videos. Notes: 5 hours of training videos on Premiere Pro.
Lynda.com: Premiere Pro CS 5.5 New Features Cost: $25/month gives you access to all Lynda.com training videos. Notes: 27min of tutorials about new features in PP 5.5. You would want to watch this after the tutorials listed above.
Lynda.com: Encore CS 5 - Essential Training Cost: $25/month gives you access to all Lynda.com training videos. Notes: 4hrs of tutorials on Adobe's DVD authoring application.
Lynda.com: Audition 3 Essential Training Cost: $25/month gives you access to all Lynda.com training videos. Notes: 6.5 hrs on Adobe's audio editing application. Doesn't appear to be fully up-to-date for CS5.5 version of the application.
Lynda.com: After Effects (various) Cost: $25/month gives you access to all Lynda.com training videos. Notes: Hours upon hours of tutorials for Adobe's acclaimed effects and post-production application. Newcomers should start with After Effects Apprentice, which is 14 hours over 7 lessons.
Avid: Avid Media Composer 5: Getting Started Cost: Free! Notes: 3 hours of tutorials from Avid to get you started on Media Composer.
Lynda.com: Avid Media Composer 5 - Essential Training Cost: $25/month gives you access to all Lynda.com training videos. Notes: Nearly 6 hours of tutorials on Avid. This appears to replicate some of the free training Avid provides, but at twice the length, one assumes it also goes into more depth.
Avid: Avid for FCP Users Cost: $50 Notes: DVD-based tutorial. Does not appear to be available online.