The only weak romance scene is this one:
PADME: Ani, I want to have our baby back on Naboo. We can go to the Lake Country where no one will know, where we can be safe. I can go early and fix up the baby's room. I know the perfect spot. Right by the garden.
ANAKIN: You are so...beautiful.
PADME: That's only because I'm so in love.
ANAKIN: No. *chuckles* No, it's because I'm so in love with you.
PADME: So love has blinded you?
ANAKIN: *chuckles* That's not exactly what I meant
PADME: But it's probbaly true.
I bolded the lines that I think make it weak. I suspect it's the delivery coupled with Padme's awful make-up making the audience say, "Dude, she doesn't look beautiful right now." The rest of the scene works rather well, I'd say. I thought Anakin's content/pseudo-aroused gaze at Padme while she's talking in the beginning of the scene was particularly effective.
So
to all you people who think this movie is remotely bad. Two lines do not kill a movie.
EDIT: Furthermore, I flatly refuse to believe any of you critiquing said lines don't say that sort of thing routinely to your own SO. Anyone who says otherwise is full of shit. We may not want to admit how silly our 'sweet nothings' in the bedroom are, but they are silly nevertheless.