Can someone recommend a good anime for me?

[Torillian]

Best I've got for you is Romance with a bit of Sci Fi mixed in:

Saikano- bring tissues
Dragonauts- not quite finished but good so far and nearly done
Chobits- extremely good...I suggest the subbed version...but that's just me.

As far as Romance and Fantasy I'm having a tough time coming up with something.....perhaps Scrapped Princess, I know that had Fantasy but I'm not sure there was enough romance to fit your tastes.