If it's on the cocktail menu, in addition to the Caipirinha @Chowseeker1999 recommends, try the Salt Air Margarita. You have to try the Cheesesteak just because it is one of their signature dishes. Also really like the smoked whiskey cocktail.
I had very strong meal at Bazaar Mar in Miami recently, so hopefully Bazaar in LA has been keeping pace. At the very least, you are in for a whimsical experience. Don't take the meal that seriously and you will have a good time.