+1 for Kendall-Jackson...... its probably the best buy for reasonably priced (Super market) wines. Also, if you are looking for a Red but dont like dry wines.... they have a great Pinot Noir.
You also may want to concentrate on location rather then brand..... Just about anything made in Nappa Valley, Chile, Austrailia, France, Italy are good.
BTW.... the best tasting bubbly out there is Martini & Rossi Asti....... and it can be had for $13-$15
