Look into Torah Vodaas. Have heard from parents of high school students that the english department is “pretty good” and “not bad” (their words, not mine).
You limited your request to Brooklyn. If you are willing to expand a little, I have heard that Mesivta Yesodei Yeshurun in Kew Gardens Hills (Queens) has a top flight English department, is Yeshivish but definitely not “greeced” and is most certainly a Litvish clientele.