Highly recommend the film “Fat Man and Little Boy”. A little melodramatic but an interesting view of Oppenheimer played by Dwight Shultz (Murdock from The A-Team.)
The only good part of the film is the subplot about the John Cusack character (loosely based on Harry Daghlian), which is a pretty good re-enactment of the actual incident. That scene (which is on YouTube) is worth watching on its own.
For a much more accurate portrayal of Oppenheimer, check out the BBC miniseries "Oppenheimer" from 1980. In terms of TV, it's positively premodern -- more like a filmed play than a real production. But Sam Waterston is much more true to Oppenheimer's character.