You may see both below in HD and compare/contrast to the original OPs…
Toradora! 2nd OP
[Silky Heart], by 堀江 由衣 / Yui Horie
If some parts seem reminiscent of the 1st ED, Vanilla Salt, that would easily be explained by the same singer-seiyuu Yui Horie (Minori Kushieda, Love Hina’s Narusegawa Naru) performing both songs.
Taiga is most moesome…
A Certain Magical Index 2nd OP
[masterpiece], by 川田まみ / Mami Kawada
Seeing Kuroko’s hair as she jumps around is also quite a treat.