So as a (former) Catholic: why can't the Church do something similar? Is it only because the market for sacramental wine is so much smaller than the market for halal foods?
What do these companies do ? They have the prayers on speaker and a robot/machine that slaughters the animals. Is it halal ? No. But there are some agencies who would gladly give you a "halal" certification for some money, and now you are certified halal.
"Halal" word in Arabic just means permissible. In the food context, we look for halal (permissible stuff, not logo) in not just meat, but also any product that contains animal by products/byproducts, like cheese for example. Microbial rennet is okay, animal rennet not so much. We usually avoid eating factory made food that contain animal products/byproducts. If it is something that can has vegetable and animal sources, then we check the ingredients/labels to see if something is specified. Sometimes they clearly specify vegetable source. Otherwise if source is not clear, or if not sure about the certification agency, we either look for a kosher label on that (if it contains some animal products/byproducts) or manually call the company and ask away any questions. If both of those are not possible, we look for something else.