Indianapolis has a number of fun things to do around the city. Here are just a few things I have discovered. Here is great video about the city
Visit Indy has a great youtube channel highlighting all the coming events to the city.
Do 317 is another great site for finding live events around the city.
The Indianapolis Children's Museum is great for entertain small children and interactive for adults as well. It is also free to local residents that live within the same zip code.
Eagle Creek Park with 1400 acres of water and 3900 acres of forest, is one of the largest city parks in the nation. It offers opportunities for recreation, enjoyment, and discovery of nature only minutes from downtown Indianapolis.
Here is a guide to what is offered by the park itself: http://www.indy.gov/eGov/City/DPR/ECPark/Documents/Eagle%20Creek%20Park%20Fees%202015%20(2).pdf
Here is the official page for the park from the city: http://www.indy.gov/eGov/City/DPR/ECPark/Pages/default.aspx
Eagle Creek Outfitters also rents out boats and bikes at the park http://wheelfunrentals.com/Locations/Indianapolis-3
You can also rent boats and travel up and down the Central Canal in downtown Indianapolis http://wheelfunrentals.com/Locations/Indianapolis-2
Doing Indy and Discover A Day are a couple of older youtube shows about Indianapolis. They provide some good entertainment and views of what the city used to look like.