The phrase "accomplish some good" is correct and usable in written English.
You can use it when discussing the positive outcomes or benefits of an action or effort.
Example: "Through our community service project, we hope to accomplish some good for those in need."
Alternatives: "do some good" or "achieve a positive impact".
We do accomplish some good.
Dorothea has a passionate temperament and yearns to accomplish some good in the world as a philanthropist.
So, with the hope that the following pages will accomplish some good and instruction for its readers, I shall proceed with my narrative.
There is a brief window of opportunity when a benign occupying power can accomplish some good before it is regarded with resentment and resistance.
Her attitude is 'We're the ones who are trying to accomplish some good, we're doing the best we can, we're on the right side — so stop taking potshots at us.
He wanted to run a business that accomplished some good.
And for all the accusations of anti-Pakistan meddling in Afghanistan, Indian efforts are accomplishing some good there: training police, and building roads and electricity lines.
Mr. Schmidt and Mr. Richardson insist they accomplished some good — showing the world has not forgotten the plight of an American detained in the North, and at least trying to nudge the tightly sealed nation a bit closer to the fold of globally connected nations.
Mr. Spielberg insisted he accomplished some good by staying put all these years, by employing local residents, charging low rents to tenants in the five apartments he owned above the furniture store and simply by believing that Newark was a place worth saving.
And, as a result, in 2013 his government accomplished some good stuff in the name of conservatism.
"He may have thought that he was defending himself, or he may have thought that he was shooting at people to accomplish some greater good, when people like you and I know that this type of behavior is really bizarre," he said.
