I would definately recommend the Country Club Plaza for site seeing, walking and dining. I would also like to mention the refurbished 'Union Station', the central rail hub of the region. It was brought back to its' spledor of yesteryear. Across the street is the 'Liberty Memorial', one of the first ( if not the first and only) WWI monument. The Crown Center Mall is just a couple of blocks down the street from Union Station and the Liberty Memorial.
There is also the Truman Library, I haven't been there in years but I would think that a past President's library should be good.
1. The Country Club Plaza - a lot of fountains here
2. Union Station
3. Libery Memorial
4. Crown Center/Hallmark Cards
5. Truman Library
6. Must have BBQ!
What are your parents interest? That would help directing them to things that they may enjoy.
P.S. Yes, I can use a computer too.
If they're in town on the 14th, I would definately have them go to Arrowhead Stadium to see the Chiefs. Even if the Chiefs aren't one of their favorite teams, the experience of a Kansas City home football game is well worth it.
I would have to vote against the Blue Ridge Mall. It's a dying mall.
If they're looking for a good microbrewery, the Ameristar Casino has a fantastic one with good food.