SquareZ
They dined on mince, and slices of quince,
   Which they ate with a runcible spoon;
And hand in hand, on the edge of the sand,
   They danced by the light of the moon.
--Edward Lear
Calling Ideas for June 15, 2012

This is:

Sukiyaki Number 1
Sukiyaki, by Kyu Sakamoto, reached the top spot on the pop charts.

Kyu Sakamoto from Kawasaki, Japan, reached the number one spot on the pop music charts with Sukiyaki. The popular song captivated American music buyers and was at the top of the Billboard pop chart for three weeks. In Japan, where Sakamoto was enormously popular, Sukiyaki was known as Ue O Muite Aruko (I Look Up When I Walk). The entertainer met an untimely fate in 1985. Kyu Sakamoto was one of 520 people who perished in the crash of a Japan Air Lines flight near Tokyo. He was 43 years old.

There are at least a couple of square dance versions of Sukiyaki. I have a singing call version that has the original Japanese lyrics (spelled out phonetically).
Arkansas becomes the 25th State
Arkansas was admitted to the Union on June 15, 1836.

Here's a site with facts about Arkansas: Arkansas. Of course, square dancing is Arkansas' state dance.

There's a traditional square dance called the Arkansas Traveller. And the state instrument is the fiddle, so I suppose you could do fiddle songs all night.
Smile Power Day
Here's an article about the benefits of smiling: Smile Power - Increase your Face Value

A good day for nice cheerful songs. There's an old square dance record called Smile Medley. Then there's "Let a Smile Be Your Umbrella" and "Pack Up Your Troubles in Your Old Kit Bag" ("and smile, smile, smile").

I'll occasionally do things like "Spin Chain Thru and the girls smile (or smile twice, or smile once and a half)".

June is:

National Accordian Awareness Month
National Accordion Awareness Month was established in 1989 to promote the accordion, help spread the word about the resurgence in popularity in the accordion and to educate people about the accordion. Here's some info.

I'm sure there are bunches of (old) square dance records that feature the accordian. I tend to associate MacGregor with accordian arrangements.