...while I'm wandering the halls, gaming, etc. she's looking for a nice day spa, massage, shopping. Etc.
Day spa ideas: Visit indy.com - Top 10 places for pampering
You may like that the first choice is right on Monument Circle, so it's not that far away. At the same time, that list is more salons with extra offerings than anything else, so there are other lists to check:
I don't know how practical some of the choices are because I don't know what your transportation situation is. But, these seem like some good options. And I'm really amused that one of the spots is called "A Place To Float", and it's actually really close to the ICC and Lucas Oil Stadium. :D
Shopping: Visit Indy.com - Top 10 Shopping Destinations
Everyone defaults to the Circle Center Mall because it's close and genuinely good. It's even the second pick on this list. But there are others around the city. Granted, they'll take some driving/ubering-lyfting/whatever, but they're all good options. When I'm in Indy for business, I sometimes like to swing by either Keystone at the Crossing or Castleton, just to browse if nothing else.