There’s already been a recent Trump drama, which I haven’t seen and which got mixed reviews (although Brendan Gleeson is outstanding in every role I’ve ever seen him play): The Comey Rule - Wikipedia
Despite some flaws which made me wince, Lincoln is a tour de force for Daniel Day-Lewis, playing the Civil War President, doing all he can to get a lame-duck Congress to pass the 13th Amendment - highly recommended. Primary Colors is about a very Bill Clintonesque candidate running all-out for the White House; it had its moments. All the President’s Men is outstanding, and IMHO one of the best movies about journalism ever made. Follow it with Frost/Nixon, also very good.
The American President is more dramady than drama, but pretty good - given the plot, cast and Sorkin’s involvement, it’s almost like a movie-length West Wing prequel. Zero Dark Thirty is a great post-9/11 drama, although I take issue with its implicit message that “torture works.” Bill Murray is a surprisingly good FDR in Hyde Park on Hudson.
Across the pond, The Queen is terrific, in part because of its exploration of the proper role of a constitutional monarchy in a modern televised democracy.
Thirteen Days is a pretty good movie about the Cuban Missile Crisis.
Selma and All the Way are complimentary movies about MLK, LBJ and the political wheeling and dealing that wrote the advances of the Civil Rights Movement into law.
If you don’t mind going back a few years, I’d recommend the original Seven Days in May, about a looming military coup in the U.S. Mr. Smith Goes to Washington is overrated IMHO, but anybody who likes political dramas should see it.
Finally, Dave is not a drama, but is a terrific political comedy that makes some serious points about democracy and public service just the same. One of my all-time favorites.