Here's our summer 2013 bucket list:

Go to a few Real Salt Lake soccer games
Go to a Salt Lake Bees baseball game
Visit a different park each week and take lunch to eat there (Thursdays)
Go swimming (M W F)
Visit Seven Peaks Salt Lake city
Go to Lagoon
Go to Cherry Hills (we'll go for a family reunion and then at least one other time)
Hike Ensign Peak
Get a cool treat (Slurpees/ice cream) each week
Sleep in the backyard
Movie night in the backyard
Grill an entire dinner at least once a week
Dutch oven dinner every other week
Go to the library (Tuesdays)
Weekend at Bear Lake
Weekend in Idaho at friends' cabin
Weekly movie night with concessions bought by earning tickets through doing chores)
Weekly game night
Summer Movie Clubhouse at Cinemark Theaters
Family reunions
Watch the fireworks at 4th of July
Go to  Taylorsville Dayzz (and go on the rides!)
Watch 4th of July parade in Hyrum
Make smores
Build something using ALL our Legos
Have a BBQ with friends
Watch Draper Days fireworks
Buy and fly kites
Do puzzles
Blow bubbles (refill station, bubble snakes)
Play with pom pom shooters
Play with sponge balls
Make/play with flubber
Go bowling
Visit Salt Lake City Cemetery--lots of pioneer graves there
Visit the Ft. Douglas War Museum
Visit the Gilgal Sculpture Garden
Visit the Pioneer Memorial Museum
Hike Donut Falls
Go to Cache Valley Cruise-In
Go to Wheeler Farm
Go to Clark Planetarium

Some other ideas:
Visit the BYU Museum of Art
Visit the BYU Bean Life Science Museum
Visit the LDS Church History Museum
Visit Hill AFB Museum
Governor's Mansion tours
Go to the Manti Pageant
Visit Bear Rive Migratory Bird Refuge

Most of these activities should be low cost or free.  We may add more ideas if we have time.  We may drop some and do others instead.  But I think overall we'll have a great summer!