"Cream of onion" definitely has cream in. Whereas "onion soup" may not; it's more likely to be French Onion style soup.
french onion soup
There are some great recipes of French onion soup on www.foodnetwork.com. The website also gives ratings and reviews on French onion soup recipes. These recipes are easy to follow and provide accurate ingredients and cooking times needed to make a French onion soup.
Soupe a l'oignon (onion soup)
French Onion Soup
You can purchase French onion soup bowls from the Amazon website. Once on the page, type "French Onion Soup Bowls" into the search field at the top of the page and press enter to bring up the items.
You're confusing the terms. "French Onion Soup" contains the same onions you find at any vegetable counter. The "French" part is the method or recipe of preparing te soup.
soupe à l'oignon
French onion soup does not always come in a lion's head bowl. When it does, it's because of tradition. Lion's head bowls are designed in a classic French style. Many restaurants in the United States serve French onion soup in ramekins.