wow I'm surprised I just saw this. The nicest rink in LA is Toyota Sports Center in El Segundo, where the Kings practice. There's also a good hockey shop 5 minutes from there called Jake's where I've gotten the best sharpening I've ever had out here. On the opposite end of the spectrum is Culver Ice Arena, which is one of the worst rinks I've ever played at with a pretty lackluster staff as well. The cool part is that Hans from the Mighty Ducks movies is based on the guy who works in the pro shop. They only based the appearance on him though, not the fact that he yells at the customers when they ask him any form of question.
Panorama City has a big facility, with 2 full sized rinks and a half-sheet used for drop-ins, lessons and stick times. Bay Harbor in Torrance is one of my favorite rinks because that was my college team's home rink and the staff are extremely courteous and knowledgeable. It's a single sheet facility so it can't compete with the bigger rinks, but it's absolutely worth checking out.
The rink in Burbank is huge, but I've only played there once. I actually got to skate with Will Arnett which was pretty cool since we were filming for his TV show.
My current home rink is Glacial Gardens, which is in the Lakewood/Long Beach area. It just got bought by a big company called the Rinks who own several, you guessed it, rinks in the LA and OC area. Their adult league is great with seven different levels of skill and game availability. The staff is nice and the pro-shop is pretty well stocked.
Send me a private message if you want more info or if you ever need a goalie.