AS2 represents the last iteration in the original Actionscript paradigm; allowing designers to add interactivity to Flash projects with minimal effort and knowledge. You won't find much that truly qualifies as a "tutorial" for AS2, at least not here, you'll find (usually not very well-written) snippets for copy-pasting with a bare-bones explanation (if you're lucky) of what the code allegedly does, assuming the one who posted the snippet didn't just copy and paste it from Flashkit or actionscript.org.
AS2 is not anathema to the "hard-core," think of it like the senior citizen of the two (old, slow and prone to shit itself with no warning). You can write perfectly servicable code in AS2, but that requires you to know what you're doing, and many times the things you want to do require hacks, kludges and similar workarounds to otherwise beat the Flash Player into a submissive state where it will, to the best of its ability, do what you want.
AS3 is the first iteration of the new Actionscript paradigm; a robust, class-based backend that demands from you that you follow the rules in exchange for performance that, quite simply put, makes AS2 look like the oxygen-tank-carting, walker-using fossil it is. If you know what you're doing, you can write efficient code with (comparatively) high performance without requiring a hack everytime you want to do something complex. You won't find a lot of AS3 script reposi...err...tutorials because, as Gust said, the syntax is easy to pick up and if you have basic-level programming knowledge you're three-quarters of the way home already.
The question comes down to the legwork you're willing to do. If you actually want to learn a language and get the fundamentals of programming, you will get more out of AS3 than you ever could out of AS2. If that type of effort doesn't appeal to you and you think wanting to make a game entitles you to do so, yeah, start copy-pasting scripts in AS2.
Just don't be surprised when, should you hit a snag or otherwise break the code, the people who try to help you don't have a single clue what they're talking about and the people who know what they're doing don't have much to say to you.