When you go into story mode go into the options and then hold select and then press up, down, right, left, square, x, triangle, circle to get all the bosses.
When in Versus Mode hold L1, L2, or R2 while selecting your character.
From the main menu, select Story Mode (first option) and then Record. Once in the Records menu, hold down Start and input: Left, Right, Circle, Square. An explosion noise will confirm correct entry. With this code entered, rumble (but not analog control) will be enabled.
When picking Dr. Farado (the blue-haired evil scientist) in any character selection screen, hold Start while pressing circle to select him. Instead of his usual Big Mecha, he will now use the more agile, octopus-like Mini Mecha. Both of these robots have different characteristics and move sets.