apples, oranges and bananas
The first three in my head are:
- Oranges
- Grapes
- Bananas
Of course, after that…strawberries came in, then, interestingly enough, Kiwi, then canteloupe, then all sorts of other fruit.
Strangely, after looking at the other responses, Apple didn’t come into my mind until I read it.
Same as the OP
strawberries, bananas, apples
edit: I see I’m not alone 
apple
grape
lemon
Apple orange Banana
Mine is the same as Oakminster.
Grapefruit, breadfruit and chocolate brownies.
Me neither, apparently!
Apple, orange, pear, which is odd, since I don’t like and never eat pears, and there are lots of other fruits I do eat on a regular basis.
Apple, pear, banana. I think “pear” popped into my head because I associate it so closely with “apple.” Also my wife likes pears, and these are the three fruits I buy most often.
Apple, cherry, banana
Apples, oranges, bananas.
Apples, bananas, oranges
Apples peaches pears
Not at all my favorites; just what popped into my head first.
If you start with apples peaches you may wind up with an alternate third choice, depending on whether you were exposed to a certain song by Jay and the Techniques:
Apples peaches pumpkin pie
You were young and so was I
Apples, Oranges, Bananas
Apples, Bananas, Strawberries
No! 
Apple peaches pumpkin pie
Who’s not it holler “I”
For choosing “it” in playing tag. Last one to shout “I” was it.
Clementines, limes, and bananas.
I bet my response skews the results! 
We have clementines right now in the fridge and I’ve been eating quite a lot of them, and it is unusual for me to like fruit enough to eat more than 1 or 2 out of a batch. Which brought limes immediately to mind because limes are way out in front my favorite fruit. Most of the fruit we buy is for my partner who likes bananas.