A “vegetarian” eats vegetables, but not meat. A “meatatarian” eats meat, with little or no vegetables. “Meatatarian” has been cited in print since at least 1965.
 
“Meatarian” is s similar term, wih a slightly different spelling.
   
 
Wiktionary: meatatarian
Etymology
Blend of meat +‎ vegetarian; compare pescetarian.
Noun
meatatarian ‎(plural meatatarians)
1. A person who exclusively or predominantly eats meat.
Usage notes
Often used popularly or humorously, particularly in opposition to vegetarianism. In formal usage meatarian is more often used.
 
Google Books
Pathway to Spiritual Healing:
Tales, Truths, and Titbits Pot-pourried for Easy Consumption
By Noel Street
London: Regency Press
1965
Pg. 36:
This idea followed an outburst from a four year old, ‘Gee, I’m tired of being a vegetarian, I want to be a meatatarian’.
   
9 September 1967, The Lexington Herald and The Lexington Leader (Lexington, KY), “Josephine” comic strip, pg. 22, col. 1:
(Spoken by a mother to her daughter at the dinner table.—ed.)
“Eat those vegetables and stop saying you’re a meatatarian.”
 
14 October 1978, Pittsburgh (PA) Press, “Wee Pals” comic strip, pg. B-14, col. 8:
One girl: A VEGETARIAN IS A PERSON WHO DOESN’T EAT MEAT
Another girl: NO! I GUESS I’M A MEATATARIAN!
 
4 November 1988, Des Moines (IA) Register, “The Family Circus” comic strip by Bil Keane, pg. 3T, col. 8:
(Spoken by Dolly, who is eating a hamburger.—ed.)
“Some people are vegetarians, but I’m a meat-atarian.”
   
Google News Archive
1 December 1988, Southeast Missourian (Cape Girardeau, MO), “Lend Me Your Ear” by Aileen Lorberg, pg. 4B, col. 5:
Take Bil Keane’s Dolly in The Family Circus, for example. In a recent cartoon, Dolly declared, “Some people are vegetarians, but I’m a meatatarian.”
   
3 October 1993, St. Louis (MO) Post-Dispatch, “Vegetarians of Tender Years on Rise” by Virginia Baldwin, pg. 1E:
Molly Kridel, 17, of Kirkwood said: “My family called me a non-meatatarian. I didn’t like vegetables, so when I stopped eating meat, I ate junk food.”
 
August 1998, Emerge, “Heart to Heart” by George E. Curry, pg. 8:
Considering my old eating habits—those of a junk food junkie and self-proclaimed “meatatarian”—I should not have been surprised that three of my arteries, which pump blood and oxygen to and from the heart, were clogged. I often joked that when I was growing up in the South, we cooked our grease in grease.
 
Urban Dictionary
meatatarian
n.
random nonsensical word to which ppl sometimes resort when involved in a discussion about vegetarianism/veganism. Interchangeable with the improperly used ‘carnivore’. Purpose is to underscore a perceived yawning gulf between the diets of those who eat meat and those who don’t.
(...)
by luke! June 10, 2004
 
Urban Dictionary
meatatarian
A person who eats meat virtually to the exclusion of vegetables. The meatatarian often claims to be conserving veggies for those who would actually eat them, and keeps the veggies out of the waste stream, helping the environment, or keeping produce costs down.
(...)
by randiskye December 12, 2007
 
31 August 2008, Denver (CO) Post, “My baseball ‘Bucket List’” by Troy E. Renck, pg. C9:
Prince Fielder demand a correction over the ‘Where’s the beef?’ lines and announce he’s a meatatarian.