Azumanga Daioh: The Complete Collection Probably THE classic Slice-of-Life anime series.
bunny drop Complete Series Premium Edition Another cute Slice-of-Life show. The anime is really sweet and poignant. The manga gets a little weird later on, though.
Yotsuba&!, Vol. 1 Really cute Slice-of-life manga.
Tsubasa RESERVoir CHRoNiCLE: Season 1 S.A.V.E. Super-awesome series by CLAMP. A sweet love story but also action-packed.
Tsubasa RESERVoir CHRoNiCLE: Season 2 S.A.V.E.
Serial Experiments Lain - Complete Box Set (4 Dvd) [Italian Edition] One of my favorite series of all time. A real mind-bender.
Evangelion: 1.11 You Are (Not) Alone Another of my favs. The reboot movies are a great way to get into it if you've never seen the series.
Evangelion: 2.22 You Can (Not) Advance
Evangelion: 3.33 You Can (Not) Redo