Quick Answer
In kitchen use, the two system names people most often compare are metric and imperial, but many modern recipes also involve US customary measurements. Metric cooking is built around grams, kilograms, milliliters, and liters. Imperial-style cooking language often involves ounces, pounds, pints, quarts, and gallons, though actual recipe practice depends on country and source.
The most important practical point is that these systems are not all identical. Metric units are decimal-based and often easier to scale. Imperial and US customary terms may sound familiar, but some unit values differ, and many recipe sources mix them with cups and spoons in ways that require careful reading.