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I also grew up with BASIC but bringing it back would be a mistake. People no longer write code that runs line-by-line; they work with objects, functions, subroutines, data structures, and so on. BASIC programmers eventually have to unlearn everything they know, and shed themselves of GOTOs and line numbers. It just doesn't make sense anymore.
How about an alternative: Every computer comes with a web browser and a text editor, allowing anyone to write some simple HTML and Javascript. Why not use the web browser? Javascript is a fairly full-featured language that even allows you to do math and display results, and its syntax is enough like C, C++ and Perl to be a good enough language for beginners.