Beyond that sort of thing, you need to specialise in the kind of areas you want to work in - if you want to program to earn money, then learning SQL, HTML, and web app development in your favourite platform is a good idea. If you go for the Unix route, I'd recommend you learn Python before Perl/PHP, but then learn the latter two because there's money in it. If you go the Microsoft route, I'm sure there's plenty of good books on C# and ASP.net. Java's pretty useful, too.
It's a good idea to learn C, not so much to learn the language itself as to learn about the processor's memory model, which C somewhat ruthlessly exposes you to; if you master C, you'll indirectly learn how software performance works, in ways that'll indirectly help you write faster code in higher-level languages. And, of course, C is useful in its own right if you want to get into embedded, systems, or games programming.
Personally, I think C++ isn't a good language to get involved in; if you want to anyway, either because you disagree with me or because you're after a job doing C++, make sure you've read Structure and Interpretation of Computer Programs, played with C, and tried at least one object-oriented language first; C++ is complex, and having a strong background in the basics behind it will help you a lot; trying to dive straight in might lead to a rather painful learning experience.
Perhaps most importantly, find a programming project you are excited about, and do it. When you're done, you'll have realised you'll have made lots of mistakes - but you'll never make those mistakes again, and the next project you do (perhaps one you'll be paid for) will be a lot better. Practice makes perfect! And have fun!