Both songs mark a departure from the sound they are often associated with.
"Beverly Hills" bears a strong resemblance to several older Weezer songs like "Undone", "Keep Fishin'", and especially "El Scorcho". "Beverly Hills", to me, is basically an attempt at rewriting "El Scorcho" and going for the same goal as "El Scorcho" while obviously tweaking it a fair amount. The aim of both was for the songs to be huge hits, it's just that the former succeeded and the latter did not. Obviously that means nothing in terms of quality, but just sayin'.
There's also the unreleased "Blast Off!". Very similar chords and rhythms. "Mo Beats" is kind of similar, too.