This is a very odd question that suggests you are either a troll or that you simply have no idea what you are talking about.
Anyone producing eggs on a commercial scale who was cruel to their stock or mistreated it would soon go out of business - laying hens that aren't looked after properly won't lay eggs. Farm animals of any kind aren't "tortured". Birds (and chickens are birds) can't be "impregnated" - they lay eggs. In large-scale commercial egg production the eggs are not fertile. After a year, or at most two, hens become commercially unprofitable (they don't lay enough eggs) and are culled. No one producing eggs commercially could afford to keep tens or hundreds of thousands of hens that weren't laying. Debeaking is not uncommon in large-scale production but there are plenty of people producing eggs that do not debeak their birds. It sounds like you might be one of those people who consider chickens being bred and farmed to be "cruel" in itself. If so, then no egg production will be, for YOU "cruelty free".
Cheese production does not directly involve animals at all - it is impossible to be cruel to milk. Some cheese is made on farms and some cheese producers source organic milk but, basically, they simply buy in milk on a huge scale and the producer is not responsible for the way in which the dairy herds are kept.
The basics of producing milk are the same regardless of the scale of production. Dairy cows must first be "impregnated" so that they produce a calf - otherwise no milk will be produced. Again, dairy cattle are not "tortured" or "abused". After a few years, like all animals, dairy cows become too old to produce offspring (and therefore milk) and are slaughtered. No one producing milk commercially could afford to do otherwise.
Regarding your updates - you aren't seriously asking someone to provide links to hens and cows NOT being "abused", "tortured", "impregnated" or "killed" are you? Listing "brands" is going to be impossible unless you tell us what country you are in but if we buy eggs (because our own hens are not laying) we generally buy "Lintz Hall Farm Free Range" eggs simply because they are local and tend to be stocked in the shops we use. I agree that the term "free range" is abused and now means next to nothing. I'd rather buy "free range" eggs than eggs from "caged birds" though. I am not aware of the "Amish" brand of eggs and cheese but, as I said, ALL eggs and milk are produced in, more or less the same way. No, I wasn't thinking of mentioning "humane meat" although I'd be fascinated to know what you mean by it!