Over at Den of Geek, there's a great tribute to Buckaroo Banzai Across the 8th Dimension, which celebrates the film's cheerful illogic and its richness of invention. As Jeff Szpirglas writes:
The real delight of Buckaroo Banzai is its incomprehensibility. Unlike the incomprehensibility of movies like John Boorman's Zardoz, or even 2001: A Space Odyssey, which tend to alienates audiences, the name of the game in Banzai is fun, particularly if you're into comics, sci-fi, and rock n' roll (read: ardent readers of this website). It's always a step ahead of the audience, with another trick up its sleeve, or some dangling plot thread that promises more. There's enough backstory here to provide the plot for several lesser films. It's like someone's tossed a season's worth of Fringe into a blender and somehow crammed it all into a movie.
The whole thing is well worth checking out, if only to remind yourself why this movie is so unique. [Den of Geek]