Riesling is my favorite. It's a white wine, slightly sweet, but not too much. I also like Pinot Grigio, which is a little less sweet than Riesling. I like Pinot Noir for a red wine.
These are varieties of grapes, so while there are many different brands of Riesling or Pinot Grigio, they all will share some similarity due to being made from the same grape.
I usually just go to the wine store, look for the variety of grape I'm thinking of, and look for something a few dollars up from the minimum price. You don't have to spend a lot of money to get a decent bottle of wine.