After beating the game twice (once in Last Blade mode and once in Last Blade 2 mode) play Survival Mode with any character on any difficulty setting and win over 50 matches. Then go to the Gallery on the Main Menu screen and scroll down to Special. Buy scroll No.4. When it opens up, you'll see a picture of Akari and Juzoh standing together all crazy looking with flames behind them. When you see the message,"MINI-GAME UNLOCKED!" it means that you have successfully unlocked Homerun Competition. It will be on the mode select screen.