I am suitably warned, Praetorian
It was certainly not intended to consist of anti-American jokes.
As I am considering crossing the pond, I was interested in what I might experience.
And I think there are many Americans here who are considering travelling a couple of thousand miles within the USA, who might think about travelling a little bit more and come over here.
But I would not advise Americans to write the same thing in an application form for a British MBA as for an American MBA. The excellent advice being handed out by people like Linda and Scott would not travel so well across the Atlantic. Somewhere like London Business School is pretty used to Americanisms, but outside London, Americans are less rare.
It really is considered rude and arrogant in this country to show off about voluntary, charitable, or community work. You should mention it but downplay it as much as possible. So for instance if you are President of your local Cancer Research fundraising branch, just write "I am actively involved with a local cancer charity." You will probably be asked more about it at interview, then you say, "Well, I did serve as President, but that was only because no-one else wanted to do it, and other people did far more work than I did." That would impress an English admissions tutor far more than the usual American phraseology. The same information is eventually conveyed, but you let other people draw attention to your moral successes rather than doing it yourself.
Likewise sporting activity. Generally regarded as a good thing, but don't overdo it. We have a saying here, "It's not the winning, it's the taking part that counts." We are competitive about some things, but it is considered acceptable to be not very good here. One of our great sporting heros is Eddie 'the Eagle' Edwards who was last back in 1988 at the Winter Olympics in Calgary. Now doing charity work and after-dinner speeches.
https://www.nyt.co.uk/eddiethe.htm