Here are the missions for anyone tha has trouble with them(got them from gamefaq's)

[quote]COMPLETE MISSION BATTLE FAQS

ROW 1:
Mission 01 - Kurosaki Ichigo [SHINIGAMI] vs. Vizard: Shinji Hirako
OBJECTIVE: Defeat Your Opponent

Mission 02 - Hiyori Sarugaki vs. Vizard: Shinji Hirako
OBJECTIVE: Defeat Your Opponent with a Grab [Back + O]

Mission 03 - Orihime Inoue vs. Vizard: Hiyori Sarugaki
OBJECTIVE: Use the Soul Blaze 3 Times [Square & Triangle]

Mission 04 - Yasutora Sado vs. Arrancar: Yami
OBJECTIVE: Survive for 1 Minute

Mission 05 - Orihime Inoue vs. Arrancar: Yami
OBJECTIVE: Defeat Your Opponent

ROW 2:
Mission 06 - Kurosaki Ichigo [BANKAI] vs. Arrancar: Yami
OBJECTIVE: Defeat Your Opponent (Opponent Health Recovers in Time)

Mission 07 - Yoruichi Shihouin vs. Arrancar: Yami
OBJECTIVE: Defeat Your Opponent (Your Hits are Reduced)

Mission 08 - Kisuke Urahara vs. Arrancar: Ulquiorra Schiffer
OBJECTIVE: Defeat Your Opponent

ROW 3:
Mission 09 - Rukia Kuchiki [GIGAI] vs. Kurosaki Ichigo [SHINIGAMI]
OBJECTIVE: Defeat Your Opponent (You Have no Reiatsu + Your Reiatsu Dosen't
Charge)

Mission 10 - Renji Abarai vs. Ikkaku Madarame
OBJECTIVE: Defeat Your Opponent (Your Attacks Hits 3x)

Mission 11 - Yumichika Ayasegawa vs. Renji Abarai
OBJECTIVE: Deplete Your Opponent's Reiatsu [just keep mashing attack buttons]

Mission 12 - Rangiku Matsumoto vs. Renji Abarai
OBJECTIVE: Break Your Opponent's Guard 3 Times (keep close & mash the O button
repeatedly)

Mission 13 - Rangiku Matsumoto vs. Toshiro Hitsugaya
OBJECTIVE: Defeat your Opponent

Mission 14 - Kurosaki Ichigo [BANKAI] vs. Renji Abarai [BANKAI]
OBJECTIVE: Defeat your Opponent [both you and your opponent cannot block]

Mission 15 - Orihime Inoue vs. Rangiku Matsumoto
OBJECTIVE: Defeat your Opponent [Have at 5 or more Reiastu Bars to Make Damage]

ROW 4:
Mission 16 - Kurosaki Ichigo [SHINIGAMI] vs. Arrancar: Grimmjow Jaggerjack
OBJECTIVE: Defeat your Opponent [Your Opponent's Hits are 2x]

ROW 5:
Mission 17 - Kurosaki Ichigo [BANKAI] vs. Arrancar: Grimmjow