I do it exactly the same way you do: one item at a time, starting with least favorite and leaving favorite until the end. If I like everything equally well, I pick one and finish it, then go on to the next one. Occasionally I’ll deviate a bit from this (like eating a few fries in between bites of burger) but mostly it’s one at a time.
I did like the OP when I was a kid. Mom broke me of the habit.
She was big on table manners.
Alternating bites is too regular. But I would definitely eat things together, rather than eating one thing at a time. Depending on the food, I may even mix bites together. If I have a preferred food item, then that will usually be spread out the most, so I both start and end with that item.
The fries thing is definitely an exception, because the only fast food fries I can eat now are only good hot, so I eat them first. Also, in general, if there’s not a plate and you’re just picking stuff, I will likely eat one thing at a time. And a restaurant that serves items in multiple places may wind up eaten separately–like when you get fajitas and they have the meat in one skillet and the fixings on the other. I may eat them separately, and may not.
But, if it’s all on a single plate, then I generally spread it out to some degree.
I do not touch the carrots because cooking carrots is an insult to carrots. How much of the green beans I eat first and how much is alternated with the tilapia depends on their temperatures. By alternate I don’t mean strictly: it may be something like half the beans, then a couple forkfuls of tilapia, then one of beans…
For the burger and fries, I eat a few fries first (that shit can only be eaten before it gets cold, it’s the vegetal clone of kalamari) and don’t touch them again once the burger has reached edible temperature (can’t eat that shit just-cooked, it’s too hot).
I don’t separate bits from mixed food except in case of mild allergies (*). Some foods I’ll mix; others don’t go well into the same fork: trying to spear up a piece of tilapia and then spoon up some green peas won’t work, but you can spoon up green peas and mac’n’cheese together.
- I can eat seafood paella that’s contained mussels, but I’ll take out and not eat the mussels themselves; the mussels:rice content tends to be in the range of “oh look, there is one mussel!” “where? oh, now I see it”. OTOH being at the table while someone next to me is eating a plate of wonderfully-smelling, delicious, fresh mussels marinara will turn my nose into a chunk of concrete.
I don’t like dessert. Where should I send mine?
actually in a foster home because of the vegetables we ate I didn’t get to eat anything until I ate the veg of the day…when it something an 8-year-old would eat like peas and carrots no problem when it was okra and rutabaga…well it was a long night…
I still eat the vegetables first then the other and meat last…
I’ll have a bit of this and a bit of that, but it leans toward saving a couple of bites of my favorite till last. For example, last night, I had tuna steak, fresh tomatoes, and some leftover potatoes. By the time the veggies were all gone, I still had tuna left - mmmmmmm - rare tuna steak!!!
I don’t generally pay attention to people’s food quirks. I still think it’s weird that one of my daughter’s friends doesn’t let different foods touch on the plate, but at least she uses utensils and a napkin. 
I tend to mix, a bit of one, a bit of the other, until it’s all done.
Last night, we had Dinner & a Movie, and dinner was KFC. This posed a problem because hands are needed for fried chicken, and utensils for the sides, and I’m trying not to spill any of it. So I ate all the sides first, then finished up with the chicken.
Other times, I’ll consider how well each dish will handle cooling, such as with tilapia, I’d focus on that more to avoid having it be too cool by the end of the meal.
There is no right or wrong way to do this, okay?
I eat a bite of this and a bite of that. If there’s dessert, I prefer to have that served at the same time, and will include bites of it, too. For example, if I go to Dairy Queen, I want my Blizzard (banana split-flavored) along with my tacos or burger. I think my mouth gets bored and likes the variety of tastes in succession. I like sweet/savory mixed up together.
My former bf’s daughter (high school age) was one of those people who did not want her food to touch–ever. So as a joke, I got her a little divided cafeteria tray. She loved it.
My late husband would take a piece of toast or biscuit, stick a chunk of bacon or sausage on it, and then smear jam on top of that. Any wonder that I loved him? 
One weird thing that I do is if a sandwich comes with potato chips, as I eat the potato chips, I’ll root through the pile of chips (crisps for you Brits) and eat the broken shards and fragments first. So that at the end, only whole chips are left, and only then do I eat those. I got into this habit in college. It is probably revealing of either some major character flaw in me or a deep sense of altruism. Or nothing.
Ha! interesting!
When I’m hungry, I usually eat only one thing. Hungry in the morning? Have hot cereal with raisins or dry cereal with yoghurt, and eat it all. In the afternoon? Hit McDonald’s for a large fries (I’m a vegetarian). Still hungry? Two apple pies and a caramel sundae, eaten by dipping the pie into the sundae.
When I do eat a “meal,” I eat one item, then the next item, saving the nest item for last.
I like the way you cover the important food groups. 
After dieting half my life with nothing to show for it, I spent a year eating only when I was hungry and eating whatever I wanted. That’s how naturally thin people eat.
That year turned into the rest of my life.
I do that, too.
But if you liked soggy briny potato chips, then it would be the right way to eat it. The question wasn’t “what is right for you” but is there “the one true way”
Or alternatively, is there a way that is simply socially unacceptable, maybe? There’s probably some things you can do that fall into that category, but the OP is not one of them.
This reminds me - there is one meal that I eat in a certain order - eggs with pancakes or french toast, and sausage (or ham or bacon).
But that’s because I like to sop up the egg yolk with the starchy side, and sop up the syrup with the meat side, so I don’t put syrup on the starchy side until I’ve finished my eggs. Then I cover the meat and starch with syrup and dig in.
Eat your food in whatever order you like. Except for lima beans, don’t eat those at all.
I sometimes use the best for last, or get down the less desirable food first. But even still it will be more of a mix, just more weighted to eat the less desirable food while still leaving plenty of the good stuff for the end. Stuff like burger and fries would be eaten together. The other exception would be when I am driving I will do a single part of the meal at a time to keep it simple and safer.
Things served together at the same time are meant to be eaten together.
If you are served things as separate courses, then you finish one before you go to the next course.
I take a bite or two from each item on the plate until it’s empty.
Bread is sometimes an exception. I love rolls and cornbread. It can be hard to stop after only one bite.
I only do a variant of that with nacho chips and salsa. When I do have salsa, I pick out only the whole chips so I can dip them, and if I run out of salsa first but am still hungry, I pick out the remaining shards so when I get more salsa I can dip the whole ones.