In my family it's the white wine that gives us headaches. Half a glass is more than enough for me. On the other hand, I can drink red wine until I die of alcohol poisoning without getting a headache.
For me both red and white wine are OK, but a glass of Japanese sake and the next day I want to kill myself to end the suffering. Which is a pity, because I like the flavor, but it gives me the worst hangovers ever.