Odd question, I know. I fly a lot, so I spend a lot of time in airports.
I'm particularly fond of Chicago O'Hare [ORD]. Plenty of food and the walkways between terminals are fun.
I also enjoy Long Beach, CA [LGB]. It's super tiny, you just walk onto the tarmac. There's no baggage claim. No jetways. It's quaint.
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I used to go through Denver a ton when I lived in Wyoming. Tents! Everywhere! Austin is pretty looking, but there's not a lot to do.