Trigun OP (H.T.) vs. Eureka Seven OP4 (Sakura)
Closeish. Both good but a bit flawed.
Rune Soldie Louie OP (Twinkle Trick) vs. Eden of the East OP (Falling Down)
Bleach OP13 (Melody of the Wild Dance) vs. Naruto OP2 (Haruka Kanata)
Appaerntly the Naruto open must be better if you watch the show, since it still doesn't do anything for me.
Yumekui Merry OP (Daydream Syndrome) vs. Sayonara Zetsubou Sensei OP (Hito toshite Jiku ga Bureteiru)
Gigantor OP vs. Irresponsible Captain Tylor OP (Just Think of Tomorrow)
Whatevs, both of these lose badly to the two below.
Baccano OP (Gun's&Roses) vs. Umineko no Naku Koro ni OP (One Winged Bird)
They're both great, so I'll tiebreak by the fact that mystery OPs are hard while high quality zany OPs are comparatively more common.
Paprika (Nigeru Mono) vs. Higurashi no Naku Koro ni OP (Higurashi no Naku Koro ni)
Winner of this match is similarly irrelevant next round.
Revolutionary Girl Utena OP (-rinbu- revolution) vs. Bokurano OP (Uninstall)
Endings
Tenchi Muyo English ED1 (Talent for Love) vs. Basquash ED 2 (Futari no Yokusoku)
Gankutsuou ED (You Wont See Me Coming) vs. .hack//SIGN ED (Yasashii Yoake)
Rurouni Kenshin ED3 (Heart of Sword) vs. Meloncholy of Haruhi Suzumiya ED (Hare Hare Yukai)
Trapeze ED (Shangri-La) vs. Gundam SEED CE 73 Stargazer ED (Stargazer ~Door to the Stars~)