I want to start this off with possibly one of the best anime series ever made, if not the best...
Rurouni Kenshin. It is the greated Samurai action anime EVER made. It is a classic, i don't know anyone (i think) who watches anime who hasn't at least heard of it... and it is actually good, unlike Dragon Ball Z (good to start off with, gets kinda repetitive) which is probably the best known anime...
anyhow anyone who likes anime should check out this TV series, i'd recomend the Shishio Makoto section of the series...
anyhow check Rurouni Kenshin out! XD
http://en.wikipedia.org/wiki/Rurouni_kenshin