What is a compound that contains the ring structure of benzene called?
A compound that contains a benzene ring is said to be aromatic.
Compounds containing a benzene ring were originally called aromatic compounds because they had a characteristic aroma or smell.
Some common compounds containing benzene ring are shown below
Most of them have a characteristic odour or smell.
In chemistry, the term "aromatic" is no longer associated with smell, and many aromatic compounds have no smell.
The term aromatic now includes many other compounds.
Examples of other aromatic compounds are
(From MSU Chemistry)
Aromatic compounds can even contain heteroatoms as in the compounds below.