I agree that Zin isn't all that great. I mean, it's OKAY, but it really isn't a great wine.
In order to really appreciate a wine (red or white) you need to attend a wine tasting event, or visit a specialty shop. You will be able to try all the different varieties, from dry to sweet. From there, you'll find the one that you really like.
Just remember, when sampling wines... always start with the dry wines. If you start with the sweet and work your way back to dry.... it will quickly resemble vinegar and you'll be jaded as to how "horrible" a dry is.
A very nice white to drink would either be a Muscato or a Riesling. The Muscato is a little drier than the Riesling, but is a very nice wine to drink alone or with some shrimp cocktail.
Another lovely white would be Pinot Grigio (pronounced peenyo greejeeo). It too is a semi-dry wine that is just gorgeous.
There are many different labels out there, but to be honest, most of them taste the same. If you sample from different places, you might notice a SLIGHT difference in flavor and feel, but it's a negligible difference.
Try them. Find the one you like. Enjoy it. Life is too short to waste it on bad wine.