Azumanga Daioh - Genuinely funny anime about a group of high school girls.(Better than you'd think it'd be)
Cowboy Bebop - Now this is a cool show. Cowboy Bebop is a combination of Firefly and jazz. It's about bounty hunters in space, and it has an excellent story line.
Baka to Test to Shoukanjuu - The story centers around Akihisa Yoshii, the "baka" of the title. His academy rigidly divides up the student body into classes based on the results of tests. The prodigies are in the A class with reclining seats complete with air conditioning, but Akihisa is in F class, the lowest rung of the school ladder which is furnished only with low, decrepit tables and worn-out straw tatami mats.The school happens to have developed experiments to summon fantasy creatures, and Akihisa decides to rally F class to take on the higher-tiered classes and seize their perks. The F class uses the summoned creatures in an all-out battle for school supremacy.
Trigun - Trigun takes place in the distant future on a deserted planet. Vash the Stampede is a gunfighter with a legend so ruthless that he has a $$60,000,000,000 bounty on his head. Entire towns are evacuated upon hearing rumors of his arrival. However, the real Vash the Stampede is not the same man that rumor portrays him to be. The enigmatic and conflicted lead character in Trigun is actually more heroic in nature, and at times a complete and utter idiot.
Usagi Drop - A heartwarming slice-of-life anime about adoption and the true meaning of family. While attending his grandfather's funeral, thirty-year-old bachelor Daikichi is surprised to discover that his grandfather had an illegitimate child with an unknown mother. The rest of his family, fearing the obligation and embarrassment, want nothing to do with the silent little girl, Rin. Sensing her imminent abandonment and outraged by his complacent family members, Daikichi decides to adopt her himself! ...yet he may have underestimated the difficulty of balancing his work, family, and love life with his role as her guardian. It's nice because it's short, just 13 episodes.
(Of the ones also said I'd recommend Black Butler, Code Geass, Daily Lives of Highschool Boys, Darker Than Black, Durarara, and Sword Art Online)