In terms of Ice Cream/Desserts, imo: Braum's > DQ > Sonic
In terms of food imo: Sonic > DQ > Braum's
Cheddar Peppers are awesome, and the toaster sandwhich/burger at Sonic are pretty good
This just blew my mind. I'm not in any way second guessing you as I don't know the facts about each of the above eateries, but did you take the fact that today is opposite day into consideration when making your list? I'm very surprised that braums has the worser food then the dq and also surprised that they have better ice cream/desserts. Is this true??? TIA.
Well first off, food is different for different people, so your list could be different.
I had Braum's the other day (in webb city/joplin MO) and the burger was pretty soggy and

, while the fries (crinkle cut) were pretty good. Braum's has that Baskin Robbins style ice cream thing at the counter with a lot more flavors than DQ/Sonic for an ice cream cone, and they have the waffle cones

. I've only been here for a while and only eaten at Braum's for supper once, so my experience could have just been below average. DQ has pretty crappy burgers as well imo, but I love the popcorn shrimp or chicken tender basket with gravy or the hickory bbq sauce...also fried mushrooms. That is > Braum's food imo. Sonic of course has the delicious Ched 'R Peppers and Ched 'R Bites and good sammiches/burgers and of course the Chili Cheese Coney.
As for the shakes and whatnot at Braum's, I'll go back soon and try something besides the cone to compare with DQ/Sonic. The cones are definitely way better @ Braum's though. Best ice cream at a fast food place for sure.