Issue is similar to [MC-36167]
The first 5 screenshots were taken on my 1.8.1 vanilla SMP server, where I first discovered this issue. The last screenshot was taken in a 1.8.2-pre4 single player world, as I figured I'd check the latest dev version to see if the issue persists.
Steps to reproduce: Simply warp your way out to either 29,999,999 or -29,999,999 in the X and Z co-ordinates and place down a Redstone Torch.
The positioning seems to be incredibly random as evidenced by the 3rd screenshot. All other particle-emitting items (that I could remember) seem to work just fine.
Update: Just tested out the slime block's particles, when you land on it after a fall. They seem to suffer from the safe issue as evidenced by the newest screenshot.
Update 2: Seems all "falling" particles (when you land on the ground after a high jump) are mis-positioned. See newest screenshot.
Update 3: When fishing, the little water splash particles tend to emanate from the dirt. I even saw a few emanating from the air above a dirt block. The particles for when a fish is coming to your lure also tend to emanate from the dirt. I uploaded a screenshot but it may be hard to see the particles of the fish approaching my lure. Look in the area around my crosshairs, those blue dots are the particles.
Update 4: Rain is affected. I knew this and forgot to mention it. Rain doesn't fall from the sky out in the "far lands". I assume snow is also affected.
What this tells me is that any particles added after [MC-36167] was fixed may suffer from improper positioning when occurring near the edge of the world.
Linked issues
relates to
Attachments
Comments
By they way, sorry about all the edits in the History of this, I'm new here.
Same happens with FallingSand entities; they appear to be offset.
I forgot that even rain is affected. It doesn't fall from the sky though. It actually emanates from the ground and shoots up out of the ground in the corner of every block. Attached a picture of it.
This report is rather annoying to read. You should remove "update 1", "update 2", etc, and just write a list of all particles the bug can affect. The bold and red text is unnecessary. Also, when saying that your bug relates to another bug, please use the main post for that bug (MC-3718), and not a duplicate.
Funny, I can read it just fine without any annoyances.

@unknown: MC-3718 deals not only with Particles, but also with textures, hitboxes and so on. The latter were fixed, the particles regressed.
P.S. Took the strong emphasis off the description as an eye-bleach for you...
All issues have been fixed, other than the "falling" particles issue. I will be filing a separate issue specifically for the falling particles issue, as this bug report is already effectively four different bug reports in one.
@Mog
Are you going to fix the FallingSand offset issue too?
Regression of MC-3718