All Challenges/Unlockables Wii

Here are basically all the unlockables except Characters. NOTE: I'm not posting 
every single trophy, sticker, or music, only the ones you can unlock.

ASSIST TROPHIES
Barbara- Unlock 25 Songs
Custom Robo- Play 100 Brawls
Gray Fox- Have Snake join you in the SSE
Infantry and Tanks- Play 300 Brawls
Isaac- Play 200 Brawls
Shadow the Hedgehog- Have Sonic join you in the SSE

EVENTS
All-Star Mode- Unlock all characters
Boss Battles Mode- Clear the SSE and Classic Mode atleast once
Co-op Events 9-13- Complete the "Subspace" Stage in the SSE
Co-op Events 14-20- Clear 10 Co-op Events and unlock all characters
Co-op Event 21- Clear Co-op Events 1-20
Events 11-20- Complete 7 Events
Events 21-28- Complete the "Subspace" Stage in the SSE
Events 29-40- Unlock all characters
Event 41- Clear Events 1-40

MASTERPIECES
Donkey Kong- Exceed 10 hours of powered-on time
F-Zero- Have Captain Falcon join you in the SSE
Super Mario Bros. 2- Obtain 5 Standard Brawl victories with Peach
Super Mario World- Brawl on Yoshi's Island (Melee) three times
Ocarina of Time- Use Toon Link 10 times in Brawls

MUSIC
02 Battle- Collect more than 5,000 Coins in Coin Matches
Ai no Uta (French Version)- Hit 37,500 feet combined in Home Run Contest
Clu Clu Land- Hit 1,200 feet in Home Run Contest
Credits (Super Smash Bros.)- Clear Classic Mode on Hard difficulty
Dream Chaser- Brawl on Port Town Aero Drive stage 10 times
Endind (Metroid)- Brawl on Norfair stage 10 times
Excite Truck- Clear Target Smash Level 2 in under 19 seconds
Fire Field- Clear the "Come On, Blue Falcon" Event
Frozen Hillside- Brawl on the Halberd stage 10 times
Great Temple/Temple- Clear "Advent of the Evil King" on Hard difficulty
Hidden Mountain & Forest- Clear "Dark Link Duel" on Hard difficulty
HIS WORLD (Instrumental)- Brawl on Green Hill Zone stage 10 times
Icicle Mountain (Melee)- Clear Classic on Normal difficulty
Ike's Theme- Have Ike join you in the SSE
King Dedede's Theme- Clear "The Hammer of the King" Event
Legendary Air Ride Machine, The- Clear the "Dragoon Strike" Event
Mach Rider (Melee)- Defeat 50 enemies in Endless Brawl
Main Theme (Super Mario 64)- Play 50 hours of Brawls
Menu 2- Unlock all Characters
Multi-Man Melee 1 (Melee)- Clear 100 Man Brawl in under 4 minutes
Multiplayer (Metroid Prime 2)- Brawl on the Frigate Orpheon stage 10 times
Pokemon Center- Get 200 different Stickers
Power-Hungry Fool- Brawl on the Castle Siege stage 10 times
Princess Peach's Castle (Melee)- Unlock all Melee Stages
Road to Viridian City- Clear the "Go! Triple Finish" Event
Snake Eater (Instrumental)- Brawl on the Shadow Moses Island stage 15 times
Song of Storms- Clear "The Pirate Airship" Event
Star Wolf (Star Fox Assault)- Clear "The Wolf Hunts the Fox" Event on Hard 
Difficulty
Tal Tal Heights- Clear All-Star on Easy Difficulty
Title (3D Hot Rally)- Clear Target Smash Level 5
Underwater Theme (Super Mario Bros.)- Brawl on the Mushroomy Kingdom stage 10 
times

STAGE-BUILDING PARTS
Edit Parts A- Brawl on Custom Stages 10 times
Edit Parts B- Create 5 stages in the Stage Builder
Edit Parts C- Create 15 stages in the Stage Builder

STAGES
75m- Use Donkey Kong 20 times in brawls
Big Blue (Melee)- Use Captain Falcon 10 times in brawls
Flat Zone 2- Unlock Mr. Game & Watch
Green Greens (Melee)- Use Kirby 20 times in brawls
Green Hill Zone- Unlock Sonic
Hanenbow- Clear "The Flower Blooms in the Echos" Event
Jungle Japes (Melee)- Play in Melee Stages 10 times
Luigi's Mansion- Use Luigi three times in brawls
Mario Bros.- Clear the "Wario Bros." Event
Pirate Ship- Unlock Toon Link
Pokemon Stadium (Melee)- Brawl on the Pokemon Stadium 2 stage 10 times
Spear Pillar- Clear "The Aura is With Me" Event

STICKERS
Boo (Mario Tennis)- Hit 900 feet in Home Run Contest
Liquid Snake (MGS:TTS)- Defeat 10 enemies in Cruel Brawl
Phyllis (AC:WW)- Clear All-Star on Normal difficulty
Running Chibi-Robo (Chibi-Robo)- Clear Classic Mode on Easy difficulty
Ayuta Ippongi (Ouendan 2)- Clear 100 Man Brawl in under 3 min 30 sec

TARGET SMASH
Target Smash Level 2- Complete Classic Mode on Normal difficulty
Target Smash Level 3- Complete Classic Mode on Hard difficulty
Target Smash Level 4- Complete Classic Mode on Very Hard difficulty
Target Smash Level 5- Complete Classic Mode on Intense difficulty

TROPHIES 
Ancient Minister- Clear the SSE
Ashley Robbins- Play over 100 hours of Brawl
Ashnard- Clear Target Smash Level 3 with 10 characters
Baby Peach- Get 500 different trophies
Ballyhoo & Big Top- Unlock 75 or more hidden songs
Banana Peel- Get 10 max combos in training
Birdo- Clear All-Star on Hard difficulty
Blast Box- Clear Target Smash Level 2 with all characters
Blue Alloy- Clear 100 Man Brawl with all characters
Bumper- Hit 15,000 feet combined with all fighter's Home Run Contest records
Cardboard Box- Clear Target Smash Level 4 in under 32 seconds
Combo Cannon- Clear Target Smash Level 5 in under 30 seconds
Cracker Launcher- Get 1,000 max combos in training
Crazy Hand- Clear Classic Mode on Intense difficulty
Creeping Chrysanthemum- Collect trophies for all characters
Dark Cannon- Clear Boss Battles on Hard difficulty
Dr. Eggman- Get 500 different stickers
Dyna Blade- Clear All-Star on Very Hard difficulty
Excitebikes- Collect all Masterpieces
Franklin Badge- Have Ness join you in the SSE
Galleom (Tank Form)- Clear Boss Battles on Intense difficulty
Gekko- Clear All-Star with 10 characters
Golden Hammer- Hit 45,000 feet combined with all fighter's Home Run Contest 
Gray Fox- Clear Target Smash Level 5 with all characters
Green Alloy- Endure a 15 minute Brawl
Gulliver- Get 2,000 or more KO's in Brawls
Halberd- Clear the "Pink Ball Repulsion" Event
Home-Run Bat- Hit 1,500 feet in Home Run Contest
Jyk- Clear Boss Battles with 20 characters
K.K. Slider- Collect all songs
Kapp'n- Exceed 300 feet combined swim distance
King K. Rool- Clear Target Smash Level 4 with all characters
Kyle Hyde- Clear All-Star with all characters
Master Hand- Clear Classic Mode with 20 characters
Mewtwo- Clear All-Star on Intense difficulty
Musketeer Daltania- Clear Target Smash Level 4 with 10 characters
Ouendan- Get 400 combined max combos with all characters in training
Outset Link- Clear Target Smash Level 5 with 10 characters
Palutena- Clear the "Cleaning House in Skyworld" Event
Palutena's Bow- Clear Target Smash Level 1 in under 15 seconds
Paper Mario- Clear Classic Mode with all characters
Party Ball- Score 500 total combined KO's in brawls
Peanut Popgun- Clear Target Smash Level 2
Pellets- Clear Target Smash Level 2 with 10 Characters
Pichu- Clear All-Star with no continues
Pitfall- Clear 100 Man Brawl
Plusle & Minun- Collect Final Smash Trophies for all characters
Porky Statue- Clear Boss Battles on Very Hard difficulty
Ray MK III- Clear Target Smash Level 3 in under 20 seconds
Red Alloy- Defeat 5 enemies in Cruel Brawl
Red Pikmin- Clear the "Sproutage of the Flower Pikmin" Event
Rocketbarrel Pack- Clear Target Smash Level 4
Sandbag- Use every character in a Home Run Contest
Shadow Bugs- Clear Boss Battles on Normal difficulty
Shy Guy- Hit 30,000 feet combined with all characters in Home Run Contest
Silver- Clear Target Smash Level 3 with all characters
Smash Coins- Play 10 or more Coin matches
Stafy- Clear Target Smash Level 1 with 10 characters
Stickers- Collect all stickers
Striker Mario- Clear Classic Mode on Very Hard difficulty
Subspace Bomb- Clear Boss Battles on Easy difficulty
Subspace Gunship- Clear Boss Battles with 10 characters
Super Scope- Clear Target Smash Level 1 with all characters
Tabuu (Wings)- Clear Boss Battles with all characters
Tails- Exceed 30,000 feet combined walking distance with all characters
Timer- Play 30 hours of Brawls
Tom Nook- Collect 1,000 Coins in Coin matches
Walky- Unlock 50 hidden songs
Wario Bike- Clear Target Smash Level 3
Xananab- Hit 24,000 feet combined with all characters in Home Run Contest
Yellow Alloy- Defeat 100 enemies in Endless Brawl

That's about it. If you need any character help or info, please contact me. 
Also, if you have questions or comments about any challenges, please contact 
me. Thanks!