A lot I love were already mentioned.
But I highly suggest Skip Beat. Kinda slice of life comedy drama. What I really like is how the main character grows. Pushed aside by her crush(who b came a pop star) who she did anything for and was totally used by, she takes revenge. Aling the way she grows stronger as a person and finds herself in a way.
Also really enjoyed Wall Flower. Comedy. Girl goes to live in a manson with four really hot looking guys( which she finds their looks too bright for her). Guys get to live their rent free in the condition that they make Sadoko become a lady. Sadoko is into skulls, and other various things. It's cute and a good comedy to watch. Maybe not for the younger crowd due to the practically nude opening. <.<
gundam 0083: war in a pocket. Kinda sad and sweet... Bittersweet. Light hearted but touches on serious things and drama. 4 episodes long.
Please Save my Earth. One of my all time favorites and one of my gateways into anime. Slightly messed up drama and life series but pretty good. Deals with the ren carnation of these 7 scientist from another planet that were studying the earth from the moon. All were reincarnated on earth. Eventually they all have dreams which they call "Moon dream" and after finding someone with a similar dream post in a esp magazine to find the other scientists. Drama and life kinda anime.
Trinity blood: mainly for Ian and ester. Wasn't a huge fan of the main character but is a good anime. Vampires and what not.
zombie loan: funny and full of drama and interesting characters. Though is overall a serious anime with humor here and there. At times a bit of a tear jerker. Main character has death eyes and can see the ring of death appear and grow on people's necks shortly before they die. She realized two student at her school have a complete ring of death yet are not dead. Turns out they're zombies hunting other zombies not bought back on a contract that are killing others. Though they were brought back on a contract and hunt other zombies in order to become truly alive and this no longer have the resources no of death in their necks. She ends up helping them.
Looking for a random funny mindless anime? Good Luck Girl. A bit serious at times but overall cute. Highly recommend vegging to. Cute and funny. A goddess of misfortune is sent to right the balance for this girl's luck out as she has a insane amount of it. Turns out she is also sucking any happiness (good luck) from those around here and eventually bringing them misfortune. While the girl is licking in a lot of things she is closed off to anyone getting close and doesn't trust anyone. This anime theme kinda pushes opening up to others. Though extremely humorous. Like Ranma 1/2 mixed with Excell Saga mixed with Cromarte high school. Not for younger audiences due to slightly mature or immature moments not for the young crowd.
Not the best of summaries.