It's a boy meets a (robot) slave girl, and... do stuff related to it.
It's pretty much Dear's, or if your not familiar with that, Heaven's Lost Property but with less "harem". Written by Clamp, writers and artist who mainly sell to female audiences. So the series lack's a lot of fan service compared to the two above. And do to it's vintage, the pacing isn't as fast and visual quality isn't as sharp as a lot of current series. But Chobit's can be considered a classic in the genre (of artificially created female humanoids for the sake of servitude), if your into brushing up on your anime history.
Also, there are some currently good series up there.
Shounen
-Trigun (High Recommendation)
-Samurai Camploo (High Recommendation)
-FMA Brotherhood (High Recommendation)
-Blood+ (High Recommendation)
-Kenichi (the manga was interesting enough, dropped around 8 tho.)
-Baka to Test (High recommendation from me, one of my favorite comedy animes.)
-Crome Shelled Regios (It's not spectacular, but it's merited more than 3 re-watches from me.)
-Spice and Wolf (High Recommendation)
-Soul Eater (One of the few kid shounen series I can get into.)
-Attack on Titan (Shocked to the fact that it's on here already.)
-My Mermaid Bride (Another really, Really, good comedy series.)
-D.Gray Man (I very much liked this series, which depresses me. (The Author's condition and the future of the series))
-Kazama no Stigma (Another not so exceptional but quite interesting to merrit re-watches, I think I'm on 3. (Another unfortunate Author situation))
-Squid Girl (Funny enough to earn it's way.)
-Rosario Vampire (Typical harem series, but does evolve into a series with some substance and definitive ending. Quite liked it, re-watched it a couple of times.)
Shoujo
-Ouran High School Host Club (High Recommendation)
-Princess Jellyfish (Hated the way they ended it tho.)
-Eden of the East (Is one I've been meaning to watch.)
-Yamada's First Time (High Recommendation)
-Ghost Hunt (Anime used to scare me when I first watched it, now it just makes me paranoid.)
Black Butler (High Recommendation)
Harder to define
-Tokyo Godfather (I don't remember it too well, but I really enjoyed watching this movie.)
-Kite (Was an Ova made during the time in which they tried to tell a meaningful story within a hentai presentation. Would have preferred more but was plenty good enough.)
(IMO) more meh
-Tenchi Muyo GXP (Of the lesser quality Tenchi, just a directionless harem series, but females are attractive.)
-Chobit's (Of all the quality Clamp material out there, you can easily skip this one.)
-Rin (I had to drop out mid way, contained subject matters, that I felt, required more attention than they gave. But very interesting concept early on in the series. 2.5D)
-Welcome to NHK (Had a very interesting start, but fairly early "mid way" just became (to me) pointlessly depressing.)
-Chaos;Head (Interesting concept... But that was the only thing I was impressed by.)
-Seikirei (Typical "super powered fighting females surrounding one frail male character in a fan-service harem" series)
-Heaven's Lost Property (Same as Sekirei)
-Fairy Tail (Of the Naruto, Bleach, One Piece breed.)
-Ookami-san (Uhh... I really don't know how to describe this series, memory tells me nothing really happened in it, friendship maybe(?))
-Girl's Bravo (Same as Sekirei, but without the fighting.)
-Vampire Bund (Wasn't sure if I should bump this up, very, Very, interesting concept, delivery though...)
-.hack//Quarantine (Seen a .hack? Yes? Ok, then you don't need to see this one.)
These are of all the series I've watched (from their list) and felt should be recommended or felt "may be your cup of tea" (with the meh). Note: This is my personal taste.