I'll try to be thorough but I only just decided to start this thread so I'm missing dress up unlocks.
Complete song list - No MOTTEKE SAILOR FUKU 
J-POP
(
3/
3/
4/
6) PEACH
(
2/
2/
2/
3) 愛唄 {Ai Uta}
(
3/
4/
6/
8) アゲ♂アゲ♂EVERY☆騎士 {AGE♂AGE♂EVERY☆Kishi}
(
3/
3/
4/
7) Lifetime Respect -女編- {Lifetime Respect -Onna Hen-}
(
4/
4/
5/
8) イケナイ太陽 {Ikenai Taiyou}
(
4/
5/
5/
6) 天体観測 {Tentaikansoku}
(
3/
4/
4/
6) Love so sweet
(
4/
6/
5/
5) リンダリンダ {Linda Linda}
Game Music
(
4/
4/
5/
8) shiny smile
(
4/
6/
6/
8) エージェント夜を往く(とかちつくちて) {Agent Yoru wo Iku (to Kachi Tsukuchite}
(
4/
4/
7/
9) バンビーニ 「もじぴったん大辞典」より {Bambini [Mojipittan dai jiten] yori}
(
4/
5/
5/
8) 恋はみずいろ {Koi wa Mizuiro}
(
4/
5/
7/
8) スペランカー {Spelunker}
(
4/
6/
8/
10) Ridge Racer
(
3/
5/
5/
7) ソウルキャリバーII {Soul Calibur II}
(
4/
7/
8/
7) ドラゴンスピリットメドレー {Dragon Spirit Medley}
Namco Original
(
3/
3/
5/
7) 七色ハーモニー {Nanairo Harmony}
(
5/
6/
8/
7) 太鼓侍 {Taiko Samurai}
(
4/
6/
6/
9) わすれなぐさ {Wasurenagusa}
(
5/
5/
7/
7) ゴーゴーキッチン {Go Go Kitchen}
(
3/
5/
7/
9) ヌムジカ ac.10 {Numujika ac.10}
(
3/
4/
4/
9) 百花繚乱 {Hyakkaryouran}
(
4/
5/
6/
8) われら無敵のドコン団 {Warera Muteki no Dokon Dan}
(
5/
7/
8/
10) 闇の魂 {Yami no Tamashii}
(
5/
7/
7/
9) さいたま2000 {Saitama 2000}
(
5/
7/
8/
10) EkiBEN2000
Classic
(
2/
5/
4/
7) ボレロ {Bolero}
(
3/
4/
6/
8) ラプソディー・イン・ブルー {Rhapsody In Blue}
(
3/
4/
5/
7) カルメン 組曲一番終曲 {Carmen Prelude}
(
4/
5/
7/
6) ラ・カンパネラ {La Campanella}
(
4/
4/
5/
9) カレ・カノ・カノン {Kare Kano Kanon}
(
3/
5/
6/
7) 行進曲「くるみ割り人形」から {The Nutcracker Suite}
(
4/
5/
6/
6) 交響曲第五番「運命」 {Symphony No. 5}
(
4/
5/
6/
6) 新世界より {Shinsekai Yori} (From the New World)
(
4/
5/
7/
8) エンターテイナー {Entertainer}
(
4/
5/
8/
10) クラシックメドレー(ロック編) {Kurashikku Medoree (rokku hen)} Classic Medley (Rock Compilation)
(
3/
3/
5/
8) おもちゃの兵隊の行進 {Parade of the Wooden Soldiers}
Children's Songs/ Nursery Rhymes
(
1/
1/
1/
8) ABCのうた {ABC no Uta}
(
1/
2/
1/
2) アルプス一万尺 {Alps Ichiman Shaku}
Anime
(
1/
2/
3/
2) アンパンマンたいそう {Anpanman Taisou}
(
1/
1/
3/
3) おしりかじり虫 {Oshiri Kajiri Mushi}
(
1/
1/
2/
4) 夢をかなえてドラえもん {Yume wo Kanaete Doraemon}
(
2/
2/
4/
4) 炎神戦隊ゴーオンジャー {Engine Sentai Go-Onger}
(
2/
2/
6/
7) プリキュア5、フル・スロットルGOGO! {Precure 5, Full Throttle Go Go!}
(
2/
3/
5/
6) ゲゲゲの鬼太郎 {Gegege no Kitarou}
(
2/
3/
4/
5) フコウの国のお姫さま {Fukou no Kuni no Ohime-sama}
(
3/
4/
5/
7) 創聖のアクエリオン {Sousei no Aquarion}
(
3/
4/
6/
7) 残酷な天使のテーゼ {Cruel Angel Thesis}
(
3/
4/
5/
6) CHA-LA HEAD-CHA-LA
(
3/
3/
7/
8) DAYBREAK'S BELL
Total: 50 songs
Mainichi Udedameshi Dojo song list
Shokyuu (初級): Anpanman Taisou (Kantan. 1/5)
9-Kyu: Furou no Kuni no o-Hime-sama (Kantan. 2/5)
8-Kyu: Soul Calibur II (Kantan. 3/5)
7-Kyu:
6-Kyu: Taiko Samurai
5-Kyu:
4-Kyu: Anpanman Taisou
3-Kyu:
2-Kyu: CHA-LA HEAD-CHA-LA
First Grade: Linda Linda (Futsu)
2-Dan:
3-Dan: Yume wo kanaete doraemon (Muzukashii)
4-Dan:
5-Dan: Borero (Muzukashii)
6-Dan:
7-Dan: Symphony No. 5 (Muzukashii)
8-Dan:
9-Dan: Alps Ichiman Jaku (Oni)
10-Dan: Oshiri Kajiri Mushi (Oni)
Meijin (Master):
Choujin (Superman/woman): Gegege no Kitarou (Oni. 6/10)
Tatsujin: Lifetime Respect -Onna Hen- (Oni. 7/10) <=- Hell yeah!
Dai-Myojin (Japanese Feudal Lord): Ikenai Taiyou (Oni. 8/10)
Dai-Choujin (Great Superman/Woman): Banbi-ni (Oni. 9/10)
Dai-Tatsujin: Ridge Racer (Oni. 10/10)
Chou-Tatsujin: EkiBEN2000, Yami no Tamashii, Classic Medley (Rock Compilation) (Oni. 10/10)
Pass EkiBEN2000 to reach the highest rank: Kyoku-Tatsujin (Ultimate Master).
Song Unlocks
Classic Medley (Classic) <=- 5000 Taiko Counter (notes hit in total)
Hyakkaryouran (Namco Original) <=- 10000 Taiko Counter
Kare Kano Kanon (Classic) <=- 30000 Taiko Counter
Dragon Spirit Medley (Game Music) <=- 50000 Taiko Counter
Numujika ac.10 (Namco Original) <=- 99999 Taiko Counter
via Dojo Yaburi
Taiko Island: Taiko Samurai (Namco Original)
Omen Island: Saitama 2000 (Namco Original)
Nyan Nyan Island: Ridge Racer (Game Music)
Otome Island: GO GO Kitchen (Namco Original)
Ryuuguu Island: Rhapsody In Blue (Classic)
Meka Island: EkiBEN2000 (Namco Original)
Dora Go-n Island: Warera Muteki no Dokon Dan (Namco Original)
Final Stage: Yami no Tamashii (Namco Original)
Enjoy the very cute credits!
Other Unlocks ONI DIFFICULTY <=- Pass 35 songs on Muzukashii difficulty
Abekobe Option (speed mod) <=- Pass 30 songs on Kantan (Easy) difficulty
Doron Option <=- Pass 30 songs on Futsuu (Normal) difficulty
Yonbai Option (speed mod) <=- Pass 30 songs on Muzukashii difficulty
Kanpeki Option (mod, miss one and fail the song) <=- Pass 30 songs on Oni difficulty
50 (Bronze) Trophy <=- Pass 50 songs
Suichuu Megane (scuba diving goggles) <=- Pass 60 songs
Zipper (fuku) <=- Pass 90 songs
Access to additional songs on Taiko no Tatsujin mobile <=- Pass 95 songs
100 (Silver) trophy <=- Pass 100 songs
Ookiname (boushi) <=- Pass 100 songs
Usagi (boushi) <=- Pass 120 songs
Gin no Taiko (fuku) <=- Full combo 100 songs
150 (Gold) trophy <=- Pass 150 songs
Nezumi (Mouse) and Inu (Dog) (boushi) <=- Pass 150 songs (comes with the trophy)
Piero (Clown) (boushi) <=- Pass 160 songs
Silk Hat (boushi) <=- Pass 180 songs
Dojo Yaburi
Taiko Island completion. Mokugyo (Note)
Omen Island completion. Kendou (Note)
Nyan Nyan Island completion. Suzu (Note)
Omen Island completion. Tsudzumi (Note)
Ryuuguu Island completion. Pucchin (Note) <=- bubble wrap
Meka Island completion. Metal Taiko (Note)
Dora Go-n Island completion. Dora (Note)
Complete Dojo Yaburi on hard (Hot) mode. Yoroi (Fuku)
Meka Island - Tassei [kanji] Challenge. 94% or greater. Muzukashii DAYBREAK'S BELL. Kikansha (Fuku)
Meka Island - Score Attack. 300000+ score. Muzukashii Ai Uta. Taka (Fuku)
Meka Island - [kanji] Trial. 320 Perfect notes in total. Muzukashii Kare Kano Kanon. Kikansha (Boushi)
Dora Go-n Island - Tassei [kanji] Challenge. 99% or greater. Muzukashii Oshirikajiri (kanji). Drill (Boushi)
Dora Go-n Island - 1[kanji] Challenge. Come in 1st place (total score challenge). Muzukashii ABC no Uta. Taka (Boushi)
Final Stage: doukanaoukan (Boushi), manto (Fuku)
Dojo Yaburi completion: Ending Credits!!!
Mainichi Udedameshi Dojo unlocks
Reach 9-Kyu. Don Coaster (Fuku)
Reach 7-Kyu. Wata Don (Note)
Reach 5-Kyu. Mitsubachi (Boushi + Fuku), Kabuto Mushi (Boushi + Fuku)
Reach 3-Kyu. Onara (Note)
Reach 1-Kyu. Yoko Dzuna set (Boushi + Fuku)
Reach 2-Dan. Saka- (Note) <=- soccer "GOOOOAL!"
Reach 4-Dan. Tsuno Afro (Boushi)
Reach 6-Dan. Gong (Note)
Reach 8-Dan. Oni no Pantsu (Fuku)
Reach 10-Dan. Kuizu (Note) <=- doorbell
Reach Choujin (Superman/woman). Mohikan (Boushi)
Reach Dai-Myojin (Japanese Feudal Lord): howaito taiga- setto (White Tiger Set. Boushi + Fuku)
Reach Dai-Tatsujin: Ninja Set (Boushi + Fuku)
Reach Chou-Tatsujin: Dokuro (Boushi)
Reach Kyoku-Tatsujin: Dokuro (Fuku)
Taiko no Tatsujin DS 2 - Seven Great Island Adventures Unlocks - ONI UPDATE 
