Mine would probably be more centered around music and the arts. I couldn't participate in any great scientific discoveries, and, frankly, watching them would be boring. I wouldn't want to be involved in any military action, and I couldn't guarentee that I'd actually get to have any meaningful interaction with great politicians or other historical figures. Ah, but art & music? That, I could enjoy.
So, NYC in the mid-70s, birthplace of punk, hip-hop, jazz fusion, disco... And the attendant visual art scene. Maybe Chicago in the Roaring 20s, during the jazz age. Or travel back to see Romeo & Juliet at the Globe.