The Rose Bowl happens in Pasadena. The Flea Market is only once a month, its usually the second Sunday of the month. Its a great place to find vintage clothes, antiques and rare treasures. I once found an amazing David Hamilton book that I bought for $15 when it was worth $500.
Old Bat cave and filming location in grifith park in los angeles. there is a nice hike to get to the cave, and it is a unique history to the place imbued with Hollywood remnants.
This is the place you want to go to have a awesome brunch. Be prepared for a waiting line outside on the weekends. The place is packed then. My personal favorites is the Polenta with Maple syrup, bacon, spinach and chicken apple sausage. If you had a rough night before I would suggest the "Hangover Helper", with the bottomless fresh mint-lemonade. Always does the trick.