Dancing with the Stars has demonstrated just how sexy ballroom dancing can be. It's still plenty romantic to have an excuse to hold your partner and whirl around the floor if you're a beginner, and there are plenty of lessons and clubs where you can dance the tango, waltz, salsa, foxtrot, swing and more.
For a truly retro Fred and Ginger experience, get dolled up and try the Sky Room in Long Beach.
For a more casual experience, Joe's Great American Bar & Grill in Burbank has swing dancing every Tuesday and a variety of dance styles and other live music on other days.
Here are some more resources to find places to dance Ballroom in the LA area.
Tango Aficionado LA
The Conga Room at LA Live
Vida Salsera Salsa Dance Listings
Swing Dancing in Los Angeles and Orange County
Memories in Whittier
Southland Strutters Ball in Orange, CA - Wednesdays
Atomic Ballroom in Irvine - Fridays
Check LA and Orange County Dance Meetup Groups for groups interested in ballroom dance. Some groups listed are social groups; others are studios or venues that host dance lessons or events, so you might have to wade through to find what you're looking for.