(Some of these things are not purely Minnesotan, but I think they're a large part of the culture here.)
Babe the Blue Ox – Do you have any pets? If not, do you want pets?
Bde Maka Ska – Have you ever gone by a different name? Do you have any nicknames?
Boundary Waters – Do you get lost easily?
Como – If you could domesticate any animal, what would it be?
Dontcha know – What is something commonly unknown/a fun fact that you wish more people knew?
Duluth – What time period do you find most interesting?
Fargo – What is something that people (or a person) think(s) about you that is wrong?
Grain Belt – What is something you’ve made/done that you’re proud of?
Hotdish – What is your favorite food you ate growing up?
Itasca – Have you ever done anything that has led to an unexpected opportunity/outcome?
Lutefisk – What is a food you can’t stand?
Mall of America – What is something you wish other people knew about you?
Mill City – When is a time that you’ve messed something up? Did you do anything to make it better?
Minnesota Nice – Are others’ first impression of you generally accurate?
Ole and Lena – Tell us a bad joke!
Paul Bunyan – What would you like to be remembered for?
Princess Kay – Has someone ever created something for you?
Split Rock – Where is your favorite place think?
Spoonbridge and Cherry – What is your favorite art piece?
Twin Cities – Who in your life are you closest to?
Uff da – What is the last thing you did that you didn’t want to do?
Vikings – What is something you want to get better at? What is one of your skills?
You betcha – Do you think you have an accent?