Ok so I finally got all of the kaiju upgraded and all of the figures, I have reached all of the achievements so here is a run down of tips for each monster to help you on both fighting other monsters and completing Invade and Defend campaigns...
Ok first off if you want to complete all the evolution for the monsters in Invade, you want to complete as many bonus objectives as possible, have destroyed the city as much as possible, and grow as much as possible; this will give you more evolution points toward your character, the more points the easier it is to evolve your character.
Ok for the characters themselves here are some tips for you...
Anguirus: this character isn't too bad in Invade, to get around faster use X to do the leap back attack, an added bonus is if you are tall enough you can cover over buildings making your fury meter go up in a hurry. In combat you have some advantages, for instance, Roar + Triangle causes you to be temporary invincible for the animation, this invinciblity also works when doing Roar + Circle to do the Ball roll as well
Battra (Larva): This character is great for chaining combos for both enemies and against buildings, using your Emergency Dodge Attack on the Generator is a great way to take it down fast. Another tip is that his Horn Prism Beam is good, but has short range.
Battra (Imago): This form is another on that is great at chaining combos together, however since he is airborne you will have a very hard time destroying smaller buildings, but keep at it, destroying as many buildings and military vehicles as possible helps your fury meter and your growth, try pick areas that have large and densely populated builds to do as much damage as possible, as far as enemies go, try to back them into a corner and unload your Emergency Dodge Attack on them, it will deplete their health very fast.
Biollante: Ok this kaiju is very fun and easy do play in Invade mode. Hands down you will not have an easier time destroying the city with any other Kaiju. Use X to charge toward and buildings her reach is amazing and can take an entire city block, combo this with her Emergency Dodge Attack and you can destroy the city in no time. This character as many of you know is one of the most OP characters in the game when facing another monster, don't forget to use Up + Triangle to use the Vine Shoot attack, it also has an impressive range too.