The topic of smudges, streaks, and a residue or film on eyeglasses has come up in a few different places on the forum and I had never had the problem until recently. You can see a lot of frustration in the Crizal thread
around November 2014, reported with both Crizal and Costco eyeglasses there. It has come up several times in the thread on anti-reflective lenses
too (see March 2012 and April 2013). Surprisingly, it doesn't seem to have come up in the thread on the best ways to clean your glasses
Anyway, the bottom line is that many people have reported problems with their glasses not being able to get clean. I couldn't understand how so many people were getting streaks on their glasses. I figured they must have been touching the lenses with oily fingers or something. And then I got my new Costco progressive lenses
which have a high quality anti-reflective coating. About a month after I got them, while at work I notice this horrible film on my glasses and I can't get rid of it. I do my usual routine of rinsing my glasses under cool water and then wiping them dry with the microfiber cloth. The film was still there so I resorted to my rare approach of using a very small amount of dish soap and rubbing it between my fingers and the lens. I figured there most be some residual oils on the lens and the soap should break that up. I rinse again and wipe it dry with my microfiber cloth and the film is still there!! I'm getting kind of pissed figuring that Costco has either cheapened their anti-reflective coating or I got a defective set of glasses. I'm puzzled and just for the heck of it, I wipe the glasses with a different microfiber cloth. I've attached a picture below of how they looked after wiping just the lens on the left side.
This first two pictures were taken without the flash and the last picture is with the flash. You can see in the picture with the flash that the lens on the left is almost invisible and the lens on the right has a ton of fine pieces of dust. So in my case, it turns out the microfiber cloth that came with my Costco lenses was actually causing a horrible film / smudge. I had never had this before. The new Costco microfiber clothes are these light bluish / grayish thicker cloth than what most other companies provide. When I went with another company's thin microfiber cloth, the lenses became spotless. I don't know if my Costco cloth just got dirty over time or what the deal is. I haven't tried washing the cloth yet, as I've just been using one of the others I have. I am shocked that the cloth made that much of a difference.
I hope the suggestion is helpful for others.