Pureed tomatoes are amazing for sauces, soups, and stews, where you want a rich, velvety texture. They're also a great base for homemade pasta sauces, and can be used as a substitute for canned sauces in a pinch. Plus, they're super easy to make: just cook down some fresh tomatoes with a bit of olive oil and seasoning, and you're good to go!
But, on the other hand, crushed tomatoes have their own unique advantages. They add a lovely freshness and pop of flavor to dishes, and can be used in everything from salsas to bruschettas. And let's not forget about the textural element: crushed tomatoes provide a nice contrast to smooth, creamy elements in a dish.