If a man is good with children, will that stand out a lot? Say the man isn't all that attractive in appearance but is good with children. Would that compensate a little for his appearance?

Appearance is not that important really, some people are shallow but most care about the person,

Being good with children is only a good thing for women with, or women who want children, and then only if your way of being good agrees with their way of being good

If the woman herself is a loving mom and cares about a great guy for her children then yes that is often most important to the woman.
If she is shallow and all about herself then more than likely she will not care that the guy would make a great dad for her kids.
There is also personality to consider and all too. Like some great guys are clingy or obnoxious or have some little quirks about them that a girl just can't get past. So great personality is a plus too.

You are attempting to take a specific attribute and expand it into a general rule all nice and logical like. Some women may have a general checklist for attributes like honesty, a job, car, or hair, but the specific items aren't universal; even guys in prison have girlfriends. Women feel stuff, if the rest of your attributes makes her feel good to be around you, you're set. If you want to work on some aspect of yourself, work on your confidence. Your question indicates self-consciousness regarding your appearance. Your body language consequently is probably uncomfortable and you're emanating a bad vibe.

What good is being great with children going to do you on a date? You better have a back up plan, or bring a child along with you if you want to impress a female with that fact about yourself. Naw, on second thought, that may pizz her off a bit.

There's no magical answer for this question. Each woman has her own little checklist of desirable qualities. You can take 10 women that have the same items on their list and even then no 2 will probably rank them the same.

As for this kid-friendly quality compensating for premature balding or a pudgy midsection, well most mature women don't expect the everyday fella to look like Adonis. A mature woman desires character over looks.

If a woman loved football and was extremely good at sports but wasn't what you considered hot, would you be attracted to her? There are several attributes in a person that automatically attract us to one another and it has nothing to do with a checklist. It is something that happens naturally and effortlessly. What I find most attractive in man I am dating besides the initial physical attraction is how confident he is in himself. Confidence is very attractive.

Looks have nothing to do with substance.

If someone judges you on how you measure up to a centrefold, then it is they who are shallow and not worth your time.

Relationships based on physical appearance is one of the lowest categories on the list in my opinion.

Humour, reliability, honesty, integrity, intelligence, and the ability to carry on a conversation and be interested in the world around him/her, says far more than what the package is wrapped with.

Ones that pass you by for physical consideration such as height, weight, good-lookingness (if that's a word lol), are doing you a favour really. The sooner they're gone, the sooner one with a brain will come along.

I'm single,and I have children,I've never gone for looks,my past dating history is proof of that,however,there was always something about that person that attracted me,but,they never ever got to meet my kids.the relationships fizzled out before it got that far.

Unless now you have your eye on someone and she knows you well enough for you to be around her kids.. if not, being good with children is not going to be enough.. smart,intelligent,witty, sincere all go a long way.