Long post I'm sorry.

You know, Urats point aside (Cause he may be right, a lot of food is untested), I had some thoughts lately, and came up with a rather "basic" solution to adding food for Pets. While it would take time to add (as any food does), they could ease their troubles a little by making similar items/recipes, but with a bonus to Pets. Like this (note, Since its a "Pet and master" food, The Recipe simply adds a "Second proportion" to the Recipe)

*Breeder's Kabob
A Kabob enjoyed by pet lovers everywhere.

Trainer's Kabob
A Kabob so delicious, you and your pet are drooling at the mouth at just the thought of it!

Recipe:
Yield: 12x Breeder Kabobs
HQ1: 6x Trainer's Kabobs
HQ2: 12x Trainer's Kabob
HQ3 12x Trainer's Kabob
2 x Kazham Peppers
2 x Cockatrice Meat
2 x Mhaura Garlic
2 x Wild Onion

Benefits: (HQ in Parenthesis)
STR+5(6)
AGI+1(1)
INT-2(2)
Attack+22%(23%)
Pet: STR+5(6)
Attack+20%(21%)

*Breeder's Sushi
A Sushi enjoyed by Pet lovers everywhere.
*Trainer's Sushi
A Sushi so masterfully Cooked, Even Bloodclaw Shasra agrees its the best raw fish she ever digested.

Recipe:
Yield: Breeder's Sushix12
HQ1: Trainer's Sushi x6
HQ2: Trainer's Sushi x12

2 x Giant Squid
2 x Distilled Water
2 x Ground Wasabi
2 x Rice Vinegar
2 x Tarutaru Rice

Stats:
HP+25(30)
MP+25(30)
DEX+5(6)
AGI+5(6)
Accuracy+15%(16%)
Ranged Accuracy+15%(16%)
Pet: DEX+5(6) AGI+5(6)
Accuracy+15%(16%)
Ranged Accuracy+15%(16%)

and so on, one with Tacos(DEF), etc, This covers "Basic Foods". Now i haven't forgotten about the mage foods. But those should be new! I thought they could add (hr) Chicken to the game. ("Chicken Bones" already exist, stands to reason maybe chickens are somewhere <___<? oh wait EXCAVATION) Anyway.

Chicken Carbonara
A delicious Meal made with Chicken and creamy Carbonara sauce. its a Favorite of Mages and Pet lovers.
Cluckatrice Carbonara
A Chicken Carbonara perfectly made, its a sight so rare its named after an extinct Animal!

*Recipe:
Yield: Chicken Carbonara x6
HQ1: Chicken Carbonara x12
HQ2: Cluckatrice Carbonara x6
HQ3: Cluckatrice Carbonara x12

1 x Bird Egg
1 x Black Pepper
1 x Chicken
1 x Holy Basil
1 x Mhaura Garlic
1 x Selbina Milk
1 x Stone Cheese

Stats:
HP+15 (20)
MP+10% (11%)
STR -3 (3)
INT +5 (6)
MND +4 (5)
CHR +4 (5)
Magic Attack Bonus +12 (13)
Pet: Magic Attack Bonus +15 (16)

Secondly, a Recipe for "Chicken Parmesan" Its the magic Accuracy version of the above! Now, There should also be Unique new foods specific for certain pet jobs. To be fair? or to be fun? I don't know. But they are (I'll keep these Short)

*Terrestrial Pie
A Pie recipe derived from the Rhonastary's secret cook book. Its a favorite of Summoner's across Vana'diel!
*Celestial Pie
A Perfectly baked Terrestrial Pie, Its so delicious, Its the true reason Carbuncle doesn't want to wake the Prime Avatars! (So he can keep it for himself!)

*Stats:
HP+30 (35)
MP+15% (16%) (Cap 200/250)
INT+8(8)
MND+8(8)
Avatar Perpetuation Cost -1(2)
Avatar:
Magic Accuracy +5%
Magic Attack Bonus +10
Accuracy +5%
Attack +10%

Stringing Marinara
A Delicious Pizza cooked unusually with "String Cheese". a Delicious cheese made from a great Puppetmaster as a food for Automatons
Marionette Marinara
This tongue-twisting Pizza would make even the most Talented master and automaton jump for joy. (Animator equipped, of course)

Stats:
STR+7(8)
DEX+7(8)
AGI+7(8)
Accuracy+6%(7)
Attack +12%(14)
Repair Potency +5%
Automaton:
STR+8 (10)
DEX+8 (10)
Accuracy+5%(6)
Ranged Accuracy+5% (6)
Attack+10% (11)
Ranged Attack+10% (11)
Magic Acc. +5% (6)
Magic Attack Bonus +10 (11)

Beast's Steak
A Delicious steak cooked up by the legendary Beastmaster "Choh Moui".
Charmer's Steak
A Deliciously perfected Beast's Steak. So amazing, it almost got Choh Moui to give up eating Pet Food Biscuits! (Almost)

*Stats:
STR+7 (7)
DEX+7 (7)
Attack+17% (18%) (Cap 80/85)
Reward Potency +5%
Pet:
STR+10 (15)
DEX+10 (15)
Attack+15% (16%) (Cap 100/110)
"Double Attack" +5 (6%)

There would off course be more specialty foods, but those are some basic ideas.