Finish Story Mode to acquire more complex versions of all of the minigames.
Bouncing Characters:
After finishing Story Mode, the characters will show up during the ending in order of their rank. If you touch any character on the touch screen with your stylus, they will bounce.
Jumping Characters:
After finishing Story Mode, the characters will show up during the ending in order of their rank. If you touch any character on the touch screen they'll jump.
Badges:
Bob-omb - Get 15,000 Mario Party points.
Boo - Get 7,000 Mario Party points.
Cheep Cheep - Get 5,000 Mario Party points.
Daisy Master - Finish Story Mode with Daisy.
Goomba - Get 1,000 Mario Party points.
Luigi Master - Finish Story Mode with Luigi.
Mario Master - Finish Story Mode with Mario.
Mario Party DS Novice - You begin with it.
Monty Mole - Get 13,000 Mario Party points.
Peach Master - Finish Story Mode with Peach.
Scuttlebug - Get 3,000 Mario Party points.
Shy Guy - Get 9,000 Mario Party points.
Toad Master - Finish Story Mode with Toad.
Toadette Friend - Get 19,000 Mario Party points.
Waluigi Master - Finish Story Mode with Waluigi.
Wario Master - Finish Story Mode with Wario.
Whomp Rival - Get 11,000 Mario Party points.
Wiggler Friend - Get 17,000 Mario Party points.
Yoshi Master - Finish Story Mode with Yoshi.
Get Minigames:
Get Battle Cup - Unlock 5 minigames.
Get Boss Bash - Finish Bowser’s Party Block in Story Mode.
Get Free Play - Unlock 1 minigame.
Get Rocket Rascals - Acquire Chips and Dips, Short Fuse Soccer Survival, Study Fall and Trash Landing.
Get Score Scuffle - Acquire Domino Effect Cherry-Go-Round, Get the Lead Out, Hanger Management, Hedge Honcho, Pedal Pushers, Raft Riot, Rail Riders, Study Fall, and Whomp-A-Thon
Get Step It Up - Unlock 4 minigames.
Get Boss Trophies:
Get Dry Bones - Beat Dry Bones 5 times.
Get Electromagnet Generator - Beat Bowser twice.
Get Hammer Brother - Beat Hammer Brother five times.
Get Kamek - Beat Kamek 5 times.
Source: http://www.gamingcheats.com/nds/9050/mario-party-ds-cheats.html
