LA certainly has more hours of sunlight, but it's not nearly as warm. However, hours of sunlight probably isn't what people mean when they say "sunnier", or else the Arctic would be a popular tourist destinations for "sun seekers" during its Summer.
LA and Sydney are natural comparisons, both are large cities with similar climates. Although I would argue that LA is drier (despite it raining both times I have visited).
Queensland? Sure.
Victoria? Only in Summer where temperatures occasionally exceed 100 Fahrenheit, winters are cold.
Tasmania? No, never.