Maison Ikkoku is a romantic comedy written by Rumiko Takahashi, a
legendary comic artist who also wrote Ranma 1/2 and Lum: Urusei Yatsura.
This happens to be my favorite of his works.  It involved a ronin (someone 
who has failed final exams) named Yusaku Godai.  When a new manager moves 
in, he instantly falls for her.  The young manager, Kyoko Otonashi however, 
is recently widowed.  While Yusaku tries everything he can to please her, 
his fellowapartment mates attempt to foil every attempt that he does to 
get togetherwith her.  To make matters worse, a handsome tennis coach, Shun
Mitaka, who is teaching Kyoko and Mrs. Ichinose, one of the neighbors. He's
rich too, and also happens to have a crush on Kyoko as well.  This would
make it seem that Yusaku would have no chance at all.  And to make matters
even worse, Yusaku somehow gets a girlfriend named Kozue Nanao, who is VERY
attached to him, it seems.  Whenever Kozue is with Yusaku, it seems that
Kyoko gets jealous, although she vehemently denies that.  Maybe there's 
hope for him yet.  
    A nice soap opera theme.  To me, this is Rumiko Takahashi's best work.
It's the only other romance that I like (Oh!! My Goddess being the other 
one).  This anime makes you really feel for Godai, who is the classic total
loser, although he's probably one of the nicest guys you'll ever meet.
This anime will leave you rooting for him throughout the story.  A good
watch.  The manga is definitely better, but the anime is pretty good as
well, if you can ignore some of the cheap animation tricks and focus on
the story.