I thought it'd be interesting to see their W/L records through the different era's of team history. I expected that the earlier teams would have much better records than the later teams due to better pitching staffs. I was right.
The Early Years 1969-1975
They never lost more than two of these games in any one season. As a point of reference, the 2011 Royals have lost two in the past week.
The Glory Years 1976-1985
The score in eight of the losses was 8-7, which is somewhat fascinating. An 18-7 loss to the Yankees on 9/05/82 isn't.
Before The Storm 1986-1994
Six more 8-7 scores. I thought that with Saberhagen and company, and later Appier and company, the winning percentage would be higher. No doubt a few are the result of bullpen meltdowns.
Era Of Mediocrity 1995-2006
I expected a drastic drop in winning percentage as KC trotted out some truly dreadful pitching staffs.
The Dayton Moore Era 2007-Present
I toyed with the idea of extending the previous era to the present, but I figured that since Moore is playing by a different set of rules than Herk Robinson and Allard Baird, a separation was warranted. Nine of the fourteen losses were by 1 run, which brings the total of 8-7 losses to 47.
A few other teams in this time frame:
Red Sox 55-6
Here are the eight games where they've scored 7 runs this year.