Though it wont be cold or snowing this winter in Los Angeles you can still go to an outdoor ice rink!! This is something I've wanted to do forever and will finally do this year!
The rink is in Pershing Square in the heart of downtown L.A. It is open now until Jan 19th! It costs $6 plus $2 for skate rentals -- a very romantic and cheap date option! Go here for more information: http://www.laparks.com/pershingsquare/doi.html