You'll probably be best off using Flash for this type of thing. It's widely supported, the development environment and documentation is excellent (albeit expensive) and it's capable of creating responsive and attractive games.

Java is also a viable option, although it can at times be somewhat less responsive than Flash and will certainly take a bit more effort if you're after something with pretty graphics.

&#106avascript/AJAX can also be used but would be suited to games that aren't time-critical such as the many turn-based browser games you see out there, which are often based on languages such as PHP or ASP.NET. Anything developed using these technologies will be drastically less responsive to input of any type.


Just as an aside, navigation on a normal website should never be implemented in Flash unless you've got a damned good reason for doing so; it's bad for accesibility, makes it harder for search engines to index your page, and generally takes a lot longer to load than plain XHTML/CSS without bringing all that much benefit.