Why do you say they can all cross with carrots?

John, yes. I crossed a carrot with some mint, and got a tea that I feed to my rabbits!! Hah Hah!! :O) ARUM

how did you cross these? cross-pollination; how?

You forgot chevril, dill, corriander, and parsnips.
So have you been attempting this or just thinking about it after misinterpreting some information?? Just because they are all in the same family does not mean they can all cross.

Anis ,carrot ,carraway ,celerac,celery,chervril, cilantro_ corriander, cumin,dill,fennel,parsely, parsnips,Queen annes lace, to the best of my knowledge will cross breed . But the tops of parsnips are poisonous.
Luther Burbank grew plants he wanted to cross breed next to each other so the wind would pollinate them if the bees did not.
the next trick would be in timing the flowers to blooom at the same time .Some are biennial and some are annual.

Queen Anne's Lace can and does cross with carrots, much to the detriment of the carrot seed industry in some parts of the U.S. I know from experience that carrots do not cross with coriander or dill or celery or parsley; nor does queen anne's lace cross with parsnips or dill or carraway or celery.

Many of these seed crops are grown with only a physical separation between fields to prevent admixtures at harvest. They do not cross even when they bloom at the same time.

The only ones on your list that will cross are carrot and Queen Anne's Lace. As Rosa points out, "Just because they are all in the same family does not mean they can all cross." Nor do they.

Weed

You're right about carrot and (one type of) Queen Anne's Lace. They will cross because they are the same species, Daucus carota. In fact, Queen Anne's Lace is just the original wild version of the modern day carrot.
Have to be a little carefule here because there are two plants that go by the common name Queen Anne's Lace - Daucus Carota and Ammi majus. They look very much alike.
As to the rest, while I'd never discount the possibility, the probability of getting getting the other crosses is ... wait a minute, this is joke right?

Wide crosses, not so wide crosses??
Perception is a problem here. Crops in the same species or genius is a man made classification. You can argue that if something does cross it is related, but if they do not cross they may or may not be closely related, they may or may not look similar.

By the way if you want to cross these particular crops, you need to do it by hand or use flies. Bees don't reliably work these flowers.