We make Sangria in two different ways.
1. Niagara Mist Sangria Zinfandel Blush. This is currently the favourite of our 30-year old kids. I would suspect that this is close to the store bought Sangria, although possibly sweeter.
2. Made a couple of hours before serving. This would be the preference of my wife and I. There's thousand (or more) recipes on the net - just google Sangria. We make it in several different ways, ie no set recipe. Requires wine, ice, citrus fruit, maybe strawberries, citrus liqueur, sugar, club soda (or sparkling water). We will use light red wine, or a blush wine, or a red/blush blend, or a blush/strawberry white zinfandel blend, or lately a red/sangria zinfandel blush blend. We seem to enjoy them all, and it's kinda fun to try the different results. Severak years ago, we were more likely to make a blush based sangria. These days almost certainly some or all red wine.
You can also find recipes for a white sangria, but we have never tried that.
We had sangria in a Mexican restaurant in Colville WA a few years ago. We are pretty sure that it was just red wine (boxed California bordeaux style) plus citrus fruit and sparkling water.
Steve