There is zero significant Eowyn/Faramir. The only appeared together in one scene that i noticed, and that was just for a few seconds while they were standing next to each other and both looking at something else. I probably wouldn't even have noticed it if i hadn't been keeping an eye out for such things.
There are rumors that it might be dealt with in the extended edition, but as of yet those are just rumors.
Why don't you like Eowyn/Faramir anyways?