This took me a while to look over. Here is what I think what tops my list of strangest places:
1. Lake Natron, Tanzania
(Lake Natron, Tanzania photographed from Discovery on mission STS-29. License: Creative Commons)
The lake actually appears red due to the biological pigment of the bacteria in it. The hotter it gets, the redder it becomes due to the increased salinity and the bacteria in the lake thrive even more.
2. Giant's Causeway, Northern Ireland
(Giant's Causeway. License: Creative Commons)
Yes sir! Believe it or not, these hexagonal columns are a work of mother nature in action. The columns are made of basalt rock and there are over forty thousand of them in there.
3. Trees at Slope Point, New Zealand
(Trees at Slope Point by Ben, License: Creative Commons)
No need to rub your eyes! Those are tress that have faced 40 kmph winds from the Antarctic since they were saplings. No wonder the poor guys are permanently bent out of shape.