Well, choose a song you like, I use alternative/rock because it isn't to loud, but if i were you i wouldn't go for a linkin park video it may be popular but you will get a 1 on originality, i have seen a video of every anime for linkin park it is sad, I would suggest Slow Songs for "Chobits", A bit higher but more mysterious songs for "Lain", Alternative/Rock such as Sum41, greenday, simple plan, for animes like:rurouni kenshin, yu yu hakusho, trigun, and animes that seem the funny action type, because alternative/rock is like funny/action which makes it the best.Also if you want to be very original use rap, barely anyone uses rap but i wouldn't use nelly with "Cowboy Bebop"A very popular video already used the song so just want you to have good originality, but when you release it tell me and i will give opinion on it,

"The secret to creativity is knowing how to hide your sources." - Albert Einstein