Vowelburgers™ Chef’s Special #2

^{Inspired by Avi’s Vowelburger™ Riddle}
The success of our first Chef’s Special has inspired our chef to add even more variety to your favourite Vowelburgers™ menu. The chef’s choice of the day consists of a vowel patty, cheese, lettuce, and a special bun. The variety lies in the other bun.

Now here is the twist: Though the contents of the burgers are fixed, the order isn’t so. Also, the special bun can be either at the top or bottom.

Can you identify each one from the description on the menu?

Hint: