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@avi… Thank you so much for the explanation. I was thinking it probably had to be something like this. Opera doesn't seem like the type of developers to overlook something like this. Now, I guess I should head over to the Apple message boards and complain there. 
This issue seems to still be present even in the newest Opera Beta for Mac, which has the new UI.
I am currently using Opera for Mac. I have noticed in the past few versions that when the window is at full size (or at least against the right edge of the screen), the drop-down menus for the tab menu and the account menu are pushed too far to the left. They appear to be about 20-30 pixels off.
It seems that they are trying to force themselves to have a margin to the right and that margin, when against the edge of the screen, causes the triangle at the top to be misaligned. Of course, this isn't a huge issue, but as someone who loves Opera and wants to encourage others to use it, it is a small thing that makes the browser look second-tier … which it is definitely not!
Here is a screenshot: http://postimg.org/image/kh0o61m9h/
Anyone else seeing this?