With that said, however, I love Art Nouveau, Art Deco, and a bunch of less minimalist (compared to Bauhaus) modern styles. But they are minimalist compared to those historical styles. In some ways they are partly a streamlining of the more interesting parts of some of more historical styles. They aren't "minimalist" in the technical sense of that term, but I'm not sure that e.g. Apple's products are minimalist in that sense either.
It's hard for me to come up with examples of things that are really totally non-minimalist, like Baroque, that I'd like to see in e.g. software or computer hardware... Maybe some of the spinoffs of Russian constructivism. Some of them aren't really minimalist at all, and many are awesome.
EDIT: Here are some examples of non-Bauhaus-style web design that are still modern. Might be better than looking at historical architecture.
http://www.pho-ku.com/ -- The Designers Republic (Russian constructivism inspired)
http://joshuaink2006.johnoxton.co.uk/ -- web designer's blog I've always found pretty :)
http://www.happycog.com/create/ -- there's a good variety here, most of which could be construed as minimalist, but none of which seems Bauhaus-y.