Anime recommendations for a beginner?

[VGPolyglot]

Platina said:

Angel Beats
Madoka Magica
Nagi no Asukara
Hanasaku Iroha

though I'm not really sure what a beginner anime is anyways :p

Basically I'm saying that the anime that people who are fans are already assumed to have watched are valid for recommendation here as I have probably not seen it.