NEW YORK — Stillwater is taking on Broadway. Cameron Crowe’s cult classic movie “Almost Famous,” about a teen music journalist following the fictional rock band Stillwater out on the road, is headed to the Great White Way this fall, producers announced Thursday. “Broadway fans and rock fans have so much in common,” Crowe, who is writing the book and lyrics, said in a statement. “We obsess over the music, we pore over every possible recording we find, and we treasure those moments when an artist stands on a stage, opens their heart in that most personal way, and creates real magic. Suddenly eve…