I'd say Season 1 of 00 is the closest you'd get to what you want, in so far as the main characters and their Gundams are a group launching small coordinated strikes against the Earth governments and their military, though it's not for forcing them to stop oppressing the space colonies (as there are none) so much as it is "eliminating all conflict" in the world. A goal that is quite frankly fucking insane when you think about the methods being utilized. There's even a princess character who knows the main protagonist.
I liked it just fine, especially as someone who's first Gundam was also Wing, though I never bothered with Season 2 as that relied more and traditional Gundam tropes and archetypes, and from some spoilers I read, certain developments that seemed to really stretch the boundaries of what I'd consider acceptable for a "real robot" show.