I smell cheeze.

[Oddwen]

I would suggest that it's not necessarily the line that is the cheesy part, but maybe just how the actors say it?

I would say yes. For instance, almost everything that Gandalf said was wonderful, in many cases favorite passages from the book. Yet his...style, his accent was all wrong, and it made him sound pretentious and overly grand. Maybe it's his Shakespearian theater training, I don't know.

On the positive side, I always love the exchange between Grima and Eowyn at the deathbed of Theodred. Grima's "Cold spring" dialogue is almost cheesy at the time, yet the way he says it redeems it.
And then the reply from Eowyn. "Your words are poison." Any other style of speaking those words would have just broken the mood. Miranda Otto found the absolute perfect way to say it. That's probably the only thing I like about TTT.

I haven't seen the RotK EE yet, can you believe it? That's what you get for having a birthday so close to Christmas.

But from the TTT EE, there is this that galls me:
"You still speak in riddles, hn-hn-henhh." ~Aragorn

And Gandalf's speech a little later on about Sauron fearing Aragorn, it just sounds like he's trying to get it out as fast as he can. It's annoying and cheezy.