I was researching low phosphorus non-chicken options for another member & have these for you, because it was for a cat with kidney issues these are all canned foods. If you must have dry food you can check the manufactures sites for comparable options from the links provided. There are likely other options in a moderate or higher phosphorus range as well, but it's a good start
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By Nature 95% Beef & Beef Liver
By Nature Organic Turkey & Turkey Liver
Wellness Beef & Salmon
Merrick Thanksgiving Day Dinner Turkey
Depending on how severe the intolerance to egg is these are non-chicken but with egg whites or dried egg.
Wellness Healthy Indulgence Tuna (and Turkey) Pouch I don't recommend Tuna as a staple food, but it's okay as more of an occasional offering
***This one does have egg whites***
Merrick Before Grain 96% Beef
***This one does have dried egg***
Merrick Before Grain 96% Turkey
***This one does have dried egg***
Merrick Cowboy Cookout Beef
***This one does have dried egg***
Merrick Surf & Turf Beef, Salmon, Lobster & Shrimp
***This one does have dried egg***