der Burger
burger
A dish consisting of a grilled or fried meat or vegetable patty in a sliced bun.
Zum Mittagessen gab es heute einen Burger mit Pommes frites.
For lunch today there was a burger with French fries.

burger
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burger
A dish consisting of a grilled or fried meat or vegetable patty in a sliced bun.
Zum Mittagessen gab es heute einen Burger mit Pommes frites.
For lunch today there was a burger with French fries.

The word 'Burger' (burger) is very productive and is used as the base word for many compounds. The first component describes the type of burger.
Ich esse am liebsten einen Cheeseburger.
I like eating cheeseburgers best.
In everyday language, 'Burger' (burger) is often combined with verbs like 'essen' (to eat), 'bestellen' (to order), 'machen' (to make), or 'grillen' (to grill). You can also say 'Lust auf einen Burger haben' (to feel like having a burger).
Wollen wir heute Abend Burger bestellen?
Shall we order burgers tonight?
'Der Burger' (the burger) always refers to the complete dish, meaning the bun with the patty and the additional ingredients. It does not mean just the meat or vegetable patty by itself.
Dieser Burger ist riesig, den schaffe ich nie.
This burger is huge; I'll never manage it.
hamburger / person from Hamburg
'der Hamburger' and 'der Burger' can both mean a dish in a bun. In many everyday situations, they are understood almost the same way. 'Hamburger' classically means a burger with a fried ground-meat patty. 'Burger' is broader and can also mean a vegetable burger, chicken burger, or another kind of patty in a bun. They are easy to mix up because in restaurants the two are often used similarly. Also important: 'Hamburger' can also mean a man from Hamburg, but 'Burger' cannot.

Der Gast fragt, ob es auch einen vegetarischen Burger gibt.
The guest asks whether there is also a vegetarian burger.
Zum Mittag bestellt Tom einen Hamburger mit Käse und Salat.
For lunch, Tom orders a hamburger with cheese and lettuce.