I'm surprised you didn't mention cherries and red cabbage. They are rich in anthocyanins which I read is good for gout. Are they not really that effective?
Never seen any evidence that red cabbage will do anything for gout. Tart cherries do help with gout, but not from the anthocyanins. Tart cherries are high in malic acid, which dissolves uric acid.
Anthocyanins though are anti-inflammatory and can help control the pain of gout.