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The most common thing to start with is a g-sensor calibration. I forget where exactly the option is, though, and I don't have my phone with me at the moment. I think it's somewhere under menu->settings->display. Start with that, and see if it helps.
How are you calibrating? Are you keeping it on a flat surface?

That's definitely strange. The only other way I've heard of to fix it is to do a factory reset. You might search xda, though. I'll see if I can find anything else.
Yeah, starting over usually speeds things up a bit. So, I take it that fixed the landscape issue?
I would blame hardware before blaming the system, but there are ways to verify. Is your phone rooted or not? I don't remember.
Before you ran the calibration, and it got messed up, was it acting up? Is that why you decided to calibrate it in the first place?

What apps have you installed that use the accelerometer? Perhaps check accelerometer usage in spare parts, too.
Hmm, that's definitely not good. You might want to take it in. I do remember seeing this happen to others before, and I don't remember if there was ever solution beyond taking the phone in if a recalibration didn't fix it.

