The media told all sorts of lies to justify the war in Iraq
A lie is something they were aware was not true and published it anyhow. What sources do you have that the media was publishing stories it knew weren't true about Iraq? What examples do you have?
more recently, the New York Times published a false story about Hamas committing mass rape
What story are you talking about, and what specific allegations do you think it got wrong?
if you want to go further back they lied to get us into Vietnam
You're saying the media knowingly made up stories because they wanted to trick the US into going to war in Vietnam? What specific examples do you have of that? Again, if this is your claim, it isn't enough to show that they got some reports wrong. It's not even enough to show that they printed some things that in hindsight they should have known were wrong. Your bar is to prove that they knew ahead of time that they were publishing things they knew were untrue and did it for the express purpose of trying to get the US into war in Vietnam.