While I can't tell you anything about what sort of meals might have been prepared, I can tell you that some Ancient Greeks at least had an appreciation for culinary art. Around 500 BCE, the Greek colony of Sybaris in Sicily passed what may be the oldest known intellectual property law, which granted cooks a monopoly of one year over any innovative dish they came up with. The explicit purpose of this law was to 'encourage others to excel in eager competition with similar inventions', so we can conclude that the Sybarites had some form of culinary art that they wished to promote.
Source: Athenaeus in 'Deipnosophistae' Book XII translated by Charles Burton Gulick
One neat bit of evidence about Ancient Greek culinary tastes is actually the longest single Attic Greek word in a surviving text (173 letters):
λοπαδοτεμαχοσελαχογαλεοκρανιολειψανοδριμυποτριμματοσιλφιοκαραβομελιτοκατακεχυμενοκιχλεπικοσσυφοφαττοπεριστεραλεκτρυονοπτοκεφαλλιοκιγκλοπελειολαγῳοσιραιοβαφητραγανοπτερύγων
(transliteration: Lopadotemachoselachogaleokranioleipsanodrimhypotrimmatosilphioparaomelitokatakechymenokichlepikossyphophattoperisteralektryonoptekephalliokigklopeleiolagoiosiraiobaphetraganopterygon)
It's actually a mash-up of a lot of different kinds of ingredients that would go into a stew: several different kinds of fish and birds, crab, rabbit, honey, wine, etc. However, we have to be really careful about assuming that it's actually something Ancient Greeks might have eaten because it comes down to us in a comic play (Assemblywomen, c. 392 B.C.) by Aristophanes. That means that there is a very good chance that it's meant to be funny because it would be a ludicrous thing to eat. Still, it does give us some sense of some of the kinds of things they might have prepared.
In Diane Wolkstein and Samuel Noah Kramer's Inanna: Queen of Heaven and Earth, which contains stories and hymns of the Sumerian goddess, there is a passage which describes fitting refreshments for a god:
Isimud heeded Enki's words.
When Inanna entered the Abzu,
He gave her butter cake to eat.
He poured cold water for her to drink.
He offered her beer before the statue of the lion.
He treated her respectfully.
He greeted Inanna at the holy table, the table of heaven.
Enki and Inanna drank beer together.
They drank more beer together.
They drank more and more beer together.
With their bronze vessels filled to overflowing,
With the vessels of Urash, Mother of the Earth,
They toasted each other; they challenged each other.
In other words, Inanna's grandfather greeted her with butter cake and beverages, and then they had a drinking contest to see who could drink the most beer (pp. 13-14). Based on the foods mentioned in the stories, it seems (from what can be derived from the text) as if they had fairly simple food made with staples such as grains, dairy products, vegetables (lettuce is mentioned too), and honey. However, they clearly had ways of processing the foods to make cheeses, butter, some form of cakes, and of course beer.
This is not to say that they didn't have much more complex, sophisticated cuisine, just that I don't have any evidence to the positive at hand. One thing that might imply that culinary arts were not highly emphasized is that as a result of the drinking contest Inanna won an extensive list of holy Me (which I believe is pronounced "may"), and only four things related to food or cooking are on the list. The Me are basically units of culture such as "the holy measuring rod and line...shepherdship...the sword and dagger...the kissing of the phallus...the art of slanderous speech...the art of song...the plundering of cities...etc." There are about ninety of them (probably more). The four that might have anything to do with food are 1) the libations priest 2) the holy tavern 3) the kindling of fire and 4) the putting out of fire. None of these are directly indicative of any great value being placed on culinary skill.
I hope this helps, and if anyone has more information concerning Sumerian food practices to share, I would be very interested to learn more!
If you're interested in some of the history of cooking you might want to check out Paul Freedman's book Out of the East. He talks for a while about how a lot of medieval traditions were inherited from Greek and Roman cookbooks, and that several of these practices were partially responsible for the rise of colonialism. So to answer your question, yes. Most civilizations with writing were often equipped with distinct culinary traditions and some have since been recovered
When you say "like" does that mean Roman? Because I know quite a bit about ancient Roman home life.
Bottero 2004 - The Oldest Cuisine in the World provides a translation of many recipes from ancient Mesopotamia, and discusses what we know about the culinary arts at the time. It's pretty much exactly what you are looking for, at least in Mesopotamia.
"Offering everything from translated recipes for pigeon and gazelle stews, the contents of medicinal teas and broths, and the origins of ingredients native to the region, this book reveals the cuisine of one of history’s most fascinating societies. Links to the modern world, along with incredible recreations of a rich, ancient culture through its cuisine, make Bottéro’s guide an entertaining and mesmerizing read."
If you're interested in Mesopotamian cuisine I would recommend "The Oldest Cuisine in the World" by Jean Bottéro. It describes what we know about it from clay tablets and attempts to reconstruct a number of recipes too.