Funky white is a pretty broad term. What the heck classifies as funky after all. To me, it is something out of your comfort zone, or simply a little wacky and undiscovered.
Try something like Cederberg Bukettraube, a lightly sweet Vouvray style wine from South Africa that is delicious and addictive, and you will be hooked!
If that doesn't sound like your speed, how about something in the orange wine end of the spectrum (white wines with skin contact). These tend to be a little, well, funky but are worth trying. There is no time like the present, so jump into a bottle of Foradori Nosiola. A very gentle touch of skin contact makes this an easy to approach, easy to appreciate white, rich with orchard fruit and floral/herb notes buffered by a hint of tannins. Yum!
Two to Try:
Photo courtesy Wikimedia Commons/Tim Parkinson