Standard Assets sun shafts ignore object?

I’d like for the Sun Shafts Image Effect to ignore certain objects (like particles). Is there a way to do that?

Not really.

Consider changing the layer of those objects to Transparent FX and also check to see if those objects have unnecessary colliders on them.

Without looking at the effect, but I’m guessing it’s done in screenspace in which case the only way would be to render the objects you don’t want to be affected using a secondary camera layered on top of the first.