I've inspected at least dozen screen protectors review images on Amazon and I'm very picky about it being as close to the edge as possible and every single one has a couple of mm exposed. If you are on a budget, you might want to look into the ESR glass protection:
screen protector
www.amazon.com
However, if you want the absolute closest edge to edge protection and don't care much about pricing, leaving very little exposed screen, which may not be compatible with some cases, you might want to look into the iMOS or Shellrus.
Shellrus Sapphire Screen Protector (iPhone 12/12 Pro 6.1 inch)
www.amazon.com
I just lucked out and got the Shellrus before it sold out on Amazon. It was almost $80, but it's the closest edge to edge glass protector I've seen thus far. I had it installed perfectly, and I can't even tell there's a glass protector on at all. The glass is very smooth, and because it's Sapphire, it gives me a piece of mind it won't scratch when I'm cleaning it, unless I grind it with a diamond.
I'll take some pictures of the edges when I have a chance. Yes it's expensive, but you get what you paid for. I previously bought the iCarez and was pretty disappointed at how much exposed screen there was along the edges that dust can accumulate under.