OK, I'll post the other ones. I really like your idea for the intuition badge, but I'm not big on the strategy symbol. I'm keeping the intuition symbol.
Patience Symbol: It is just like a regular battle, except a wheel picks which pokemon makes the next move every single time. The one not attacking is aloud to use defensive moves though.
Natural Symbol: This is my favorite. The fronteir brain uses pokemon that can camaflouge, and your pokemon are playing a game of hide and seek, with a time limit. It takes place in a jungle. Each pokemon is assigned one pokemon to find, and once found, you must attack the pokemon. The way to lose is if you don't find all the pokemon within the time limit.
Allure Symbol: This is a mix of the battle arena rules in the game, and the anime style contest battles. You have to use attacks that will look nice, like you do in pokemon contests, and you judge it teh same way. But you can only use attacks, and the attacks alternate. Whoever has the most points at the end wins that round. Their are 3 rounds.
Intrepid Symbol: The brain has 6 pkmn, and 4 different methods of fighting. Each stage has its own rules, and in order to get the symbol, you have to beat him in atleast 3 out of 6 stages.
-Stage 1: Sumo Wrestling: You must use a pkmn who weighs over 550 lbs. It's a sumo wrestling match, 1st to leave the ring loses. He uses Hariyama.
-Stage 2: Hand To Hand Combat: You must use a fighting type pkmn. You have to use fighting attacks, but you can't use real pkmn attacks, you can only give commands like "Punch" or "kick" or stuff like that. You have to pin the foe down. He uses Medicham.
-Stage 3: Boulder Toss: You must use a pkmn with strong muscels, or psychic abilites. You have to push an extremely lare boulder back and fourth to eachother. If you get pushed off the stage, you lose. He uses Machamp.
Stages 4-6: Gymnastics: You must use flexible pkmn w/ gymnastic abilities. He uses the hitmon family. In each stage you will compete in a differnt form of a gymnastic competition.
What do you think?