My most epic Pokemon moment was... Well, I bought Black version at midnight launch. 4 hours into the game, I reached Pinwheel Forest for the first time. The first wild Pokemon I encountered was a shiny Cottonee! Soooo freaking amazing. I've been playing since Red/Blue and NO moment was or will be as thrilling at that moment. I couldn't fall asleep until about 6 AM it was that surreal. -saved the game 5 times after catching shiny-
As for most epic battle, that would always be the time I battled my best friend in middle school. I have the battle saved on Emerald's video recorder. Nothing special happened (well, I won lol) but it's just epic to battle someone so close in general.