That's Macross (well, not Delta but Delta sucks) and debatably TTGL.
Geass violates most of those rules. Every Gundam does. As does 86, Gunbuster, FMP, Break Blade, and Mazinkaiser.
Well, guess I should check out Macross then. I only watched one of the newer Macrossa-anime, with that green-haired girl and the pink-haired girl who both were singers.
"She's the only non-loli girl in the show, your honor!" will be my defense in court