Most KM's For One Country?

I believe I can rival with Grace when it comes to Russian coins. They can be seen in my omnicoin page.

My highest number is likely my US coins, but I don't file them by KM#. I'd have to guess there are about 150 different KM#s. Great Britain is the second highest at 80, followed by France at 62.

I sure am

I organize by main country first then name alterations second

Are you talking dot numbers as separate or as one.
If not France for me at 440.

I do agree with Christian. I sub-categorize my countries as well.

The only tally I keep is my total number of Mexican Cap and Ray 8R coins KM-377 and their various "dots". At present I own 2,471. (Including counterfeits.)

Love how categorizing can be so confusing. Malay Peninsula, Malaya, Malaya & British Borneo, and Malaysia are all technically the same thing yet technically different.

Most depend on governmental influences, territory annexations, war, and present interpretation of the history of the past

I assume by this question you mean a piece of real estate that has changed hands the most number of times throughout history.

I would nominate Armenia. For centuries, the area was disputed between the great powers of East (Rome) and West (Persia). Sometimes it was independent, sometimes a puppet state backed by one of the great powers, sometimes directly annexed. After the rise of Islam, it was sometimes independent, sometimes conquered. Then it became frontier territory again, this time between North (Russia) and South (Ottoman Turkey). The area known historically as "Armenia" is now divided into three zones of control: Turkish Armenia, the modern Republic of Armenia and Nagorno-Karabakh, nominally under Azerbaijan control (the latter two were formerly in the Soviet Union).

The Holy Land would also qualify as a land that has changed hands often, and for similar reasons: for millennia, it was on the frontier between the two ancient centres of civilization, Egypt and Mesopotamia. Throw in the Romans, Arabs, Crusaders, Turks and British, and you've got a very long, convoluted history of ownership.

For more modern examples of lands that changed hands often, I'd look to the Caribbean islands. These are small, and most of the time not worth anyone's while to garrison and defend properly. Thus whenever war broke out in Europe, ships would be despatched to re-annex the islands. For St Kitts, for example, the history reads: Natives, French, Spanish, Natives, English, Anglo-French Partition, Spanish, Anglo-French Partition, French, Anglo-French Partition, French, English, Anglo-French Partition, French, British. All this between 1600 and 1713.