Shugo chara-Doki!- The sequel to the original, Shugo Chara-Doki is a pretty cute anime. The characters, have differing personalities.
Di Gi Charat- This is the cutest short series ever. It also has a prequel, sequel and remake.
Lucky Star- An all-otaku anime. Many anime references. A slice of life genre.I reccomend this.
Sailor Moon-A four season series. There's fighting, interesting characters, romance, and comedy. The plot is great, each season with a different plot.
Pokemon-Yes I love Pokemon, the characters are different. Some even have only one or two emotions. The newer seasons aren't as good as the older ones.
Trinity Blood- Love this one. The plot is awesome, plenty of death. You follow a catholic priest with a secret. Says the wikipedia plot summary of the first episode.Sadly, this is a short series.
Tokyo Mew Mew-Typical magical girl, with an animal twist.
Naruto- The most famous ninja anime. The japanese original is best. Naruto has a sequel series.
Fullmetal Alchemists- I liked this one. Edward is the most stubborn person ever, always breaking his auto-mail. Through the series, Ed and Al are out to find the philosopher's stone.
Ojamajo Doremi- A cute little anime. A group of girls running the Maho-dou, which changes theme every season, during their Witch apprenticeship.They go through tests each season.