There is Silver Lake, which is in Los Angeles and very cool and nice. There are homes around the entire lake and since it's a water reservoir it also has a fence around it and, no, you can't boat on it.
None of the lakes freeze here.
Added: Some of the lakes listed I wouldn't consider lakes, but large ponds. The web site has links to all of the lakes.
Here is a list of Los Angeles County lakes.
Ascot Reservoir (Los Angeles area)
Baldwin Lake (Mount Wilson area)
Ballona Lagoon (Venice area)
Big Dalton Reservoir (Glendora area)
Big Springs Reservoir (Santa Catalina North area)
Big Tujunga Reservoir (Condor Peak area)
Bouquet Reservoir (Green Valley area)
Bouton Lake (Long Beach area)
Buffalo Springs Reservoirs (Santa Catalina North area)
Caldwell Lake (Valyermo area)
Cape Canyon Reservoir (Santa Catalina North area)
Castaic Lagoon (Newhall area)
Castaic Lake (Warm Springs Mountain area)
Chatsworth Reservoir (Calabasas area)
Cogswell Reservoir (Azusa area)
Colorado Lagoon (Long Beach area)
Contury Reservoir (Malibu Beach area)
Crystal Lake (Crystal Lake area)
Deep Tank Reservoir (Santa Catalina North area)
Del Rey Lagoon (Venice area)
Devils Gate Reservoir (Pasadena area)
Diederich Street Reservoir (Pasadena area)
Dominguez Reservoir (Torrance area)
Drinkwater Reservoir (Warm Springs Mountain area)
Dry Canyon Reservoir (Newhall area)
Eagle Rock Reservoir (Pasadena area)
Eaton Canyon Reservoir (Mount Wilson area)
Echo Lake (Hollywood area)
Echo Lake (Santa Catalina North area)
Elderberry Forebay (Whitaker Peak area)
Elderberry Lake (Whitaker Peak area)
Elizabeth Lake (Lake Hughes area)
Encino Reservoir (Canoga Park area)
Fairmont Reservoir (Lake Hughes area)
Franklin Canyon Reservoir (Beverly Hills area)
Gaffey Pool (San Pedro area)
Garfield Reservoirs (Los Angeles area)
Garvanza Reservoir (Los Angeles area)
Garvey Reservoir (El Monte area)
Girard Reservoir (Canoga Park area)
Gookins Dry Lake (Liebre Mountain area)
Green Verdugo Reservoir (Sunland area)
Hansen Flood Control Basin (San Fernando area)
Hansen Lake (San Fernando area)
Harbor Lake (Torrance area)
Haypress Reservoir (Santa Catalina East area)
Hazard Reservoir (Los Angeles area)
Hidden Lake (Burnt Peak area)
Highland Reservoir (Los Angeles area)
Holiday Lake (Neenach School area)
Hollywood Reservoir (Hollywood area)
Hoover Reservoir (Whittier area)
Hughes Lake (Lake Hughes area)
Ivanhoe Reservoir (Hollywood area)
Jackson Lake (Mescal Creek area)
Kings Canyon Percolation Basin (Lake Hughes area)
Lake Enchanto (Point Dume area)
Lake Lindero (Thousand Oaks area)
Lake Palmdale (Palmdale area)
Lees Lake (Calabasas area)
Legg Lake (El Monte area)
Little Lake (historical) (Whittier area)
Little Rock Reservoir (Pacifico Mountain area)
Lovejoy Lake (historical) (Lovejoy Buttes area)
Lower Buffalo Corral Reservoir (Santa Catalina North area)
Lower Van Norman Lake (San Fernando area)
Malibu Lagoon (Malibu Beach area)
Malibu Lake (Point Dume area)
Malibu Reservoir (Malibu Beach area)
McGee Lake (Santa Catalina South area)
Middle Lake (San Fernando area)
Monteria Lake (Oat Mountain area)
Morningside Park Reservoir (Inglewood area)
Morris Reservoir (Azusa area)
Mount Olivet Reservoir (Beverly Hills area)
Munz Lakes (Lake Hughes area)
Pacific Crest Reservoir (Mount San Antonio area)
Pacoima Reservoir (San Fernando area)
Palos Verdes Reservoir (Torrance area)
Patrick Reservoir (Santa Catalina East area)
Piute Ponds (Rosamond Lake area)
Pond Two (Lancaster West area)
Powena Reservoir (Hollywood area)
Puddingstone Reservoir (San Dimas area)
Pyramid Lake (Black Mountain area)
Quail Lake (Lebec area)
Redwing Lake (Sunland area)
San Dimas Reservoir (Glendora area)
San Gabriel Reservoir (Glendora area)
Santa Fe Flood Control Basin (Baldwin Park area)
Santa Ynez Lake (Topanga area)
Silver Lake Reservoir (Hollywood area)
Stone Canyon Reservoir (Beverly Hills area)
Summit Reservoir (Santa Catalina North area)
Sunset Reservoir (Pasadena area)
Toluca Lake (Burbank area)
Tweedy Lake (Burnt Peak area)
Una Lake (Palmdale area)
Upper Buffalo Corral Reservoir (Santa Catalina North area)
Upper Franklin Canyon Reservoir (Beverly Hills area)
Upper Stone Canyon Reservoir (Beverly Hills area)
Upper Van Norman Lake (San Fernando area)
Van Norman Bypass Reservoir (San Fernando area)
Western Reservoir (Burbank area)
Westlake Lake (Thousand Oaks area)
Whittier Narrows Reservoir (El Monte area)
Wrigley Reservoir (Santa Catalina East area)