Can't go wrong. Zuma Beach / Leo Carillo / El Matador!
There are countless hikes to choose from. *One of our favorites not listed on the link is the Ray Miller trailhead. Beautiful ocean views!
There are several public courses in and around the area. *One course not listed on the link is Westlake Golf Course.
Malibu Farm - restaurant (at the beginning of the pier) and cafe (at the end of the pier).
Local winery where you can sit outside (picnic style) and listen to live music (note, it gets crowded very early).
Similar to Malibu Wines, but has a sit down restaurant and lawn games.
*There is also the Getty Villa.