Go for a walk down Mass ave to get all of your down town Indianapolis food, drinks, shopping, and partying in! Would highly recommend Gordons Milkshakes at the far end of Mass Ave for a lovely treat :)
Go and see where Emily spent 4 of her years for undergraduate school! Theres not a whole lot to do on campus, and you can drive through it in less than 5 minutes, but it's a major part of my past where I met 2 of my bridesmaids! Fun fact: these were the only 4 years that Evan and Emily were apart from each other!
Here is a fun place to do some more shopping in the down town area!