For a while I enjoyed one of those teams using a unit you had in your list: Sage Naruto, Kazekage Gaara and Sailor Sakura with Breeze Dancer. I believe using the Rhino pet you can get their entire chase combo off and using Dance of Impetus allows you to easily do a ton of repeated burst with Rasenshuriken T2/3 and Gaara T4 before another reset.

It's also difficult to entirely shut the team down as well since you will have a healer and dance. Meaning, unless they have very specific CC targeting and disruption, you will almost always have Sakura heal T2 to cleanse afflicted unit(s) and AoE heal. Then it comes back T3 as well, after dance reset, ready to be used to heal/cleanse all over again.

Of course a lot of the teams potential, like most others, is within your initiative and strategy during fights but even if you are a bit slower with all the little things in this composition you do have some room for a comeback. The only other big flaw is that it relies on you going Breeze to get the most of it which, from your post, I can't really tell what main you were set on, if any.