That would depend on which part of Naruto's fights you don't like. Bleach does do the "alternate powerups until someone loses" bit, but that's a given with shonen. For the average battle, and speaking from memory here since I haven't read Naruto since the Rescue Gaara arc, I'd say Bleach's fights are different from Naruto's in three main ways:
First, Bleach characters are actually drawn like they're moving in combat. This alone makes the fights a lot more entertaining than Naruto's "let's stand here and throw fireballs" to me.
Second, since Bleach combat is mostly based on weapon or body transformations rather than spells, its explanations are generally a couple lines at most, with a lot of powers just existing with no explanation at all. (I recall reading Naruto fights that had abilities which came complete with one or more pages devoted to expository diagramming.)
Lastly, and closely tied to the previous point, since Bleach long since threw any semblance of reasonableness in its powerlevels out the door, it usually just focuses on working in some sort of "holy shit this is awesome" moment every week.
So yeah, it's shonen combat, but Kubo realizes that what makes the shonen combat formula work is presentation and manliness, and he's very good at doing both of those. (Oh yeah, did I mention that Bleach actually has characters who don't look like pudgy faggots?)
Honestly, the only thing that keeps Bleach from being a legitimately good series, rather than just good vs. other fighting shonen, is that it has horrendous plot pacing. Fortunately for you, the manga just got past a dry spell with regard to plot, so you'll be able to run through the 6 months of pure combat in an hour or so rather than over six fucking months.