If the house is older and the floors are not very level you will want a thicker laminate to hide the imperfections as much as possible.

This allows for higher volumes and a thicker pipeline, without sacrificing reliability or customer service, than would otherwise be possible.- You're going to know if you still owe me paperwork, because your worksheet is going to have the word "NO" in red letters right next to the words "2015 W2 or 1099s, as appropriate."

Thicker panels perform better.

Carpet looked great, the linoleum was the thin variety, and I'd choose thicker on my rehabs. 

A better quality vinyl will have a thicker finish/wear layer and will often have a base closer in colour to the finish (making cuts and deep scrapes less obvious).In addition to laminate and vinyl, there are many other flooring options: tile (porcelain or ceramic); linoleum; hardwood (engineered or traditional plank); bamboo, etc.  

At a minimum you will have to separate the electricity and HVAC, add fire separation (insulation and thicker drywall) and an entire kitchen.  

There's thicker stuff at a much higher price from flooring stores, but the 4mm is showing no wear at all over a slab after two years in a home with a dog and children.

Higher end residential products will usually have a thicker viscosity and have been designed  to be brushed and rolled.  

This will cause parts of the flooring to curl or stick up.You may think to put this type of flooring in to save some money, but in the long run, you’ll end up spending more replacing planks that have not been secured properly or just show too much of an irregular floor.Glue Down Vinyl Plank FlooringThe glue down version of vinyl plank is slightly thicker than the peel and stick version.

Obviously, I would think thicker is better, but any experience with specific thickness, brands, etc.?