Yes! Pretty Cure 5 does, however, focus on the team getting along. Strangely, it's the mature Karen that causes all the problems.
Even more so, the eponymous airships in Simoun can only be operated by two girls working as a team...and they're powered by the pilots kissing each other.
The Space Squadron in Soukou no Strain takes great pains to integrate Sara into their group and work together as a team. Although Sara goes solo against the Big Bad, she has the full backing and support of her team, who give her all the power they've got.
A running theme in ALL sport mangas to one or another degree. Be Eyeshield 21 or Kuroko no Basuke or Attacker You! or Prince of Tennis or others... there will always be the message that the team is everything. It's specially anvilicious in Captain Tsubasa, where one of the biggest plot threads of the junior high arc is how Hyuuga lost his position as a titular player in the powerful Toho team because he broke said team spirit by taking a temporary leave to train in Okinawa without permission..
In The Mysterious Benedict Society, at the very beginning of their adventures, Mr. Benedict tells the Society that the most important thing is that they must, in all things, be a team. And, indeed, it is only by being a team that they are able to eventually defeat Mr. Curtain.
In the JAG episode "Dungaree Justice", a misdirected team spirit leads a group of sailors to avenge the rape of a female sailor on an innocent man.
This is the point of the pact system in The World Ends with You. Without a partner, a Player will get erased in a few minutes. And just to show how vital having a partner is, in the first day of the third week, you are drawn into a battle with Noise without a partner; you can still fight on the bottom screen, right? Wrong. All of your pins are disabled, leaving you with no choice but to run from battle.
Team Fortress 2's player classes all have different strengths, weaknesses, and unique abilities, forcing players to help each other out so their team can win...in theory, at least. There's also a hat-painting item known as Team Spirit, which makes your hat match your current team's color.
This is a bit of a theme in Final Fantasy IX. Zidane says that he and Dagger are more than Just Friends, they're a team, and later he and Amarant have a discussion about what being part of a team means. One of the game's Active Time Events (a feature exclusive to this installment of Final Fantasy) is even called "Team."
Team Night Saturn: Everyone on the site doesn't seem to mind to work together... as a team.
Hey Arnold!, "World Records": After several attempts by Arnold and Gerald to break a world record prove failures, Arnold comes up with the bright idea of getting all the neighborhood kids involved in making a giant pizza puff, using everyone's own special talent (Stinky's ability to wrap sleeping bags helps him fold the crust, Phoebe makes sauce, Gerald cuts vegetables). In the end they failed only because one of the kids (forgot who) misinterpreted TSP—teaspoon—as Ten Square Pounds. In the end they succeed with "Most Attempts at Trying To Get a World Record" which was without a doubt a team effort.
This is pretty much the central theme of My Friend Rabbit. It's detailed in the show's Title Theme Tune: "We're a team with lots to share / It's not where we're going it's how we're gonna get there! / We can do it, when we do it together! / We can do it, me and my friend Rabbit!"
In World War II's Pacific Theater, the American air forces learned that dogfighting against the Japanese Zero fighters alone was a losing proposition against their early model fighters. However, with the help of master aerial tacticians like John Thache, the American pilots learn they can beat the Japanese in the air by fighting as a team.